15+9(2z+1)-3z=50-7z+4(2z-8)

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Solution for 15+9(2z+1)-3z=50-7z+4(2z-8) equation:


Simplifying
15 + 9(2z + 1) + -3z = 50 + -7z + 4(2z + -8)

Reorder the terms:
15 + 9(1 + 2z) + -3z = 50 + -7z + 4(2z + -8)
15 + (1 * 9 + 2z * 9) + -3z = 50 + -7z + 4(2z + -8)
15 + (9 + 18z) + -3z = 50 + -7z + 4(2z + -8)

Combine like terms: 15 + 9 = 24
24 + 18z + -3z = 50 + -7z + 4(2z + -8)

Combine like terms: 18z + -3z = 15z
24 + 15z = 50 + -7z + 4(2z + -8)

Reorder the terms:
24 + 15z = 50 + -7z + 4(-8 + 2z)
24 + 15z = 50 + -7z + (-8 * 4 + 2z * 4)
24 + 15z = 50 + -7z + (-32 + 8z)

Reorder the terms:
24 + 15z = 50 + -32 + -7z + 8z

Combine like terms: 50 + -32 = 18
24 + 15z = 18 + -7z + 8z

Combine like terms: -7z + 8z = 1z
24 + 15z = 18 + 1z

Solving
24 + 15z = 18 + 1z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
24 + 15z + -1z = 18 + 1z + -1z

Combine like terms: 15z + -1z = 14z
24 + 14z = 18 + 1z + -1z

Combine like terms: 1z + -1z = 0
24 + 14z = 18 + 0
24 + 14z = 18

Add '-24' to each side of the equation.
24 + -24 + 14z = 18 + -24

Combine like terms: 24 + -24 = 0
0 + 14z = 18 + -24
14z = 18 + -24

Combine like terms: 18 + -24 = -6
14z = -6

Divide each side by '14'.
z = -0.4285714286

Simplifying
z = -0.4285714286

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