11(Z+4)-4(Z-1)=3(Z-4)+3(Z-3)

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Solution for 11(Z+4)-4(Z-1)=3(Z-4)+3(Z-3) equation: 


Simplifying
11(Z + 4) + -4(Z + -1) = 3(Z + -4) + 3(Z + -3)

Reorder the terms:
11(4 + Z) + -4(Z + -1) = 3(Z + -4) + 3(Z + -3)
(4 * 11 + Z * 11) + -4(Z + -1) = 3(Z + -4) + 3(Z + -3)
(44 + 11Z) + -4(Z + -1) = 3(Z + -4) + 3(Z + -3)

Reorder the terms:
44 + 11Z + -4(-1 + Z) = 3(Z + -4) + 3(Z + -3)
44 + 11Z + (-1 * -4 + Z * -4) = 3(Z + -4) + 3(Z + -3)
44 + 11Z + (4 + -4Z) = 3(Z + -4) + 3(Z + -3)

Reorder the terms:
44 + 4 + 11Z + -4Z = 3(Z + -4) + 3(Z + -3)

Combine like terms: 44 + 4 = 48
48 + 11Z + -4Z = 3(Z + -4) + 3(Z + -3)

Combine like terms: 11Z + -4Z = 7Z
48 + 7Z = 3(Z + -4) + 3(Z + -3)

Reorder the terms:
48 + 7Z = 3(-4 + Z) + 3(Z + -3)
48 + 7Z = (-4 * 3 + Z * 3) + 3(Z + -3)
48 + 7Z = (-12 + 3Z) + 3(Z + -3)

Reorder the terms:
48 + 7Z = -12 + 3Z + 3(-3 + Z)
48 + 7Z = -12 + 3Z + (-3 * 3 + Z * 3)
48 + 7Z = -12 + 3Z + (-9 + 3Z)

Reorder the terms:
48 + 7Z = -12 + -9 + 3Z + 3Z

Combine like terms: -12 + -9 = -21
48 + 7Z = -21 + 3Z + 3Z

Combine like terms: 3Z + 3Z = 6Z
48 + 7Z = -21 + 6Z

Solving
48 + 7Z = -21 + 6Z

Solving for variable 'Z'.

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

Add '-6Z' to each side of the equation.
48 + 7Z + -6Z = -21 + 6Z + -6Z

Combine like terms: 7Z + -6Z = 1Z
48 + 1Z = -21 + 6Z + -6Z

Combine like terms: 6Z + -6Z = 0
48 + 1Z = -21 + 0
48 + 1Z = -21

Add '-48' to each side of the equation.
48 + -48 + 1Z = -21 + -48

Combine like terms: 48 + -48 = 0
0 + 1Z = -21 + -48
1Z = -21 + -48

Combine like terms: -21 + -48 = -69
1Z = -69

Divide each side by '1'.
Z = -69

Simplifying
Z = -69

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