12(5*7+9*7)+16(12X+28Z+72Y)=Y+Y+Z(T+Y)+15(8I+9XYZ)+161Z

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Solution for 12(5*7+9*7)+16(12X+28Z+72Y)=Y+Y+Z(T+Y)+15(8I+9XYZ)+161Z equation: 


Simplifying
12(5 * 7 + 9 * 7) + 16(12X + 28Z + 72Y) = Y + Y + Z(T + Y) + 15(8I + 9XYZ) + 161Z

Multiply 5 * 7
12(35 + 9 * 7) + 16(12X + 28Z + 72Y) = Y + Y + Z(T + Y) + 15(8I + 9XYZ) + 161Z

Multiply 9 * 7
12(35 + 63) + 16(12X + 28Z + 72Y) = Y + Y + Z(T + Y) + 15(8I + 9XYZ) + 161Z

Combine like terms: 35 + 63 = 98
12(98) + 16(12X + 28Z + 72Y) = Y + Y + Z(T + Y) + 15(8I + 9XYZ) + 161Z

Multiply 12 * 98
1176 + 16(12X + 28Z + 72Y) = Y + Y + Z(T + Y) + 15(8I + 9XYZ) + 161Z

Reorder the terms:
1176 + 16(12X + 72Y + 28Z) = Y + Y + Z(T + Y) + 15(8I + 9XYZ) + 161Z
1176 + (12X * 16 + 72Y * 16 + 28Z * 16) = Y + Y + Z(T + Y) + 15(8I + 9XYZ) + 161Z
1176 + (192X + 1152Y + 448Z) = Y + Y + Z(T + Y) + 15(8I + 9XYZ) + 161Z
1176 + 192X + 1152Y + 448Z = Y + Y + (T * Z + Y * Z) + 15(8I + 9XYZ) + 161Z
1176 + 192X + 1152Y + 448Z = Y + Y + (TZ + YZ) + 15(8I + 9XYZ) + 161Z
1176 + 192X + 1152Y + 448Z = Y + Y + TZ + YZ + (8I * 15 + 9XYZ * 15) + 161Z
1176 + 192X + 1152Y + 448Z = Y + Y + TZ + YZ + (120I + 135XYZ) + 161Z

Reorder the terms:
1176 + 192X + 1152Y + 448Z = 120I + TZ + 135XYZ + Y + Y + YZ + 161Z

Combine like terms: Y + Y = 2Y
1176 + 192X + 1152Y + 448Z = 120I + TZ + 135XYZ + 2Y + YZ + 161Z

Solving
1176 + 192X + 1152Y + 448Z = 120I + TZ + 135XYZ + 2Y + YZ + 161Z

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-135XYZ' to each side of the equation.
1176 + 192X + 1152Y + -135XYZ + 448Z = 120I + TZ + 135XYZ + 2Y + YZ + -135XYZ + 161Z

Reorder the terms:
1176 + 192X + -135XYZ + 1152Y + 448Z = 120I + TZ + 135XYZ + 2Y + YZ + -135XYZ + 161Z

Reorder the terms:
1176 + 192X + -135XYZ + 1152Y + 448Z = 120I + TZ + 135XYZ + -135XYZ + 2Y + YZ + 161Z

Combine like terms: 135XYZ + -135XYZ = 0
1176 + 192X + -135XYZ + 1152Y + 448Z = 120I + TZ + 0 + 2Y + YZ + 161Z
1176 + 192X + -135XYZ + 1152Y + 448Z = 120I + TZ + 2Y + YZ + 161Z

Add '-1176' to each side of the equation.
1176 + 192X + -135XYZ + 1152Y + -1176 + 448Z = 120I + TZ + 2Y + YZ + -1176 + 161Z

Reorder the terms:
1176 + -1176 + 192X + -135XYZ + 1152Y + 448Z = 120I + TZ + 2Y + YZ + -1176 + 161Z

Combine like terms: 1176 + -1176 = 0
0 + 192X + -135XYZ + 1152Y + 448Z = 120I + TZ + 2Y + YZ + -1176 + 161Z
192X + -135XYZ + 1152Y + 448Z = 120I + TZ + 2Y + YZ + -1176 + 161Z

Reorder the terms:
192X + -135XYZ + 1152Y + 448Z = -1176 + 120I + TZ + 2Y + YZ + 161Z

Add '-1152Y' to each side of the equation.
192X + -135XYZ + 1152Y + -1152Y + 448Z = -1176 + 120I + TZ + 2Y + YZ + -1152Y + 161Z

Combine like terms: 1152Y + -1152Y = 0
192X + -135XYZ + 0 + 448Z = -1176 + 120I + TZ + 2Y + YZ + -1152Y + 161Z
192X + -135XYZ + 448Z = -1176 + 120I + TZ + 2Y + YZ + -1152Y + 161Z

Reorder the terms:
192X + -135XYZ + 448Z = -1176 + 120I + TZ + 2Y + -1152Y + YZ + 161Z

Combine like terms: 2Y + -1152Y = -1150Y
192X + -135XYZ + 448Z = -1176 + 120I + TZ + -1150Y + YZ + 161Z

Add '-448Z' to each side of the equation.
192X + -135XYZ + 448Z + -448Z = -1176 + 120I + TZ + -1150Y + YZ + 161Z + -448Z

Combine like terms: 448Z + -448Z = 0
192X + -135XYZ + 0 = -1176 + 120I + TZ + -1150Y + YZ + 161Z + -448Z
192X + -135XYZ = -1176 + 120I + TZ + -1150Y + YZ + 161Z + -448Z

Combine like terms: 161Z + -448Z = -287Z
192X + -135XYZ = -1176 + 120I + TZ + -1150Y + YZ + -287Z

Reorder the terms:
1176 + -120I + -1TZ + 192X + -135XYZ + 1150Y + -1YZ + 287Z = -1176 + 120I + TZ + -1150Y + YZ + -287Z + 1176 + -120I + -1TZ + 1150Y + -1YZ + 287Z

Reorder the terms:
1176 + -120I + -1TZ + 192X + -135XYZ + 1150Y + -1YZ + 287Z = -1176 + 1176 + 120I + -120I + TZ + -1TZ + -1150Y + 1150Y + YZ + -1YZ + -287Z + 287Z

Combine like terms: -1176 + 1176 = 0
1176 + -120I + -1TZ + 192X + -135XYZ + 1150Y + -1YZ + 287Z = 0 + 120I + -120I + TZ + -1TZ + -1150Y + 1150Y + YZ + -1YZ + -287Z + 287Z
1176 + -120I + -1TZ + 192X + -135XYZ + 1150Y + -1YZ + 287Z = 120I + -120I + TZ + -1TZ + -1150Y + 1150Y + YZ + -1YZ + -287Z + 287Z

Combine like terms: 120I + -120I = 0
1176 + -120I + -1TZ + 192X + -135XYZ + 1150Y + -1YZ + 287Z = 0 + TZ + -1TZ + -1150Y + 1150Y + YZ + -1YZ + -287Z + 287Z
1176 + -120I + -1TZ + 192X + -135XYZ + 1150Y + -1YZ + 287Z = TZ + -1TZ + -1150Y + 1150Y + YZ + -1YZ + -287Z + 287Z

Combine like terms: TZ + -1TZ = 0
1176 + -120I + -1TZ + 192X + -135XYZ + 1150Y + -1YZ + 287Z = 0 + -1150Y + 1150Y + YZ + -1YZ + -287Z + 287Z
1176 + -120I + -1TZ + 192X + -135XYZ + 1150Y + -1YZ + 287Z = -1150Y + 1150Y + YZ + -1YZ + -287Z + 287Z

Combine like terms: -1150Y + 1150Y = 0
1176 + -120I + -1TZ + 192X + -135XYZ + 1150Y + -1YZ + 287Z = 0 + YZ + -1YZ + -287Z + 287Z
1176 + -120I + -1TZ + 192X + -135XYZ + 1150Y + -1YZ + 287Z = YZ + -1YZ + -287Z + 287Z

Combine like terms: YZ + -1YZ = 0
1176 + -120I + -1TZ + 192X + -135XYZ + 1150Y + -1YZ + 287Z = 0 + -287Z + 287Z
1176 + -120I + -1TZ + 192X + -135XYZ + 1150Y + -1YZ + 287Z = -287Z + 287Z

Combine like terms: -287Z + 287Z = 0
1176 + -120I + -1TZ + 192X + -135XYZ + 1150Y + -1YZ + 287Z = 0

The solution to this equation could not be determined.

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