9(z+2)-4(4z-4)=2(z-1)+2(z-4)

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Solution for 9(z+2)-4(4z-4)=2(z-1)+2(z-4) equation: 


Simplifying
9(z + 2) + -4(4z + -4) = 2(z + -1) + 2(z + -4)

Reorder the terms:
9(2 + z) + -4(4z + -4) = 2(z + -1) + 2(z + -4)
(2 * 9 + z * 9) + -4(4z + -4) = 2(z + -1) + 2(z + -4)
(18 + 9z) + -4(4z + -4) = 2(z + -1) + 2(z + -4)

Reorder the terms:
18 + 9z + -4(-4 + 4z) = 2(z + -1) + 2(z + -4)
18 + 9z + (-4 * -4 + 4z * -4) = 2(z + -1) + 2(z + -4)
18 + 9z + (16 + -16z) = 2(z + -1) + 2(z + -4)

Reorder the terms:
18 + 16 + 9z + -16z = 2(z + -1) + 2(z + -4)

Combine like terms: 18 + 16 = 34
34 + 9z + -16z = 2(z + -1) + 2(z + -4)

Combine like terms: 9z + -16z = -7z
34 + -7z = 2(z + -1) + 2(z + -4)

Reorder the terms:
34 + -7z = 2(-1 + z) + 2(z + -4)
34 + -7z = (-1 * 2 + z * 2) + 2(z + -4)
34 + -7z = (-2 + 2z) + 2(z + -4)

Reorder the terms:
34 + -7z = -2 + 2z + 2(-4 + z)
34 + -7z = -2 + 2z + (-4 * 2 + z * 2)
34 + -7z = -2 + 2z + (-8 + 2z)

Reorder the terms:
34 + -7z = -2 + -8 + 2z + 2z

Combine like terms: -2 + -8 = -10
34 + -7z = -10 + 2z + 2z

Combine like terms: 2z + 2z = 4z
34 + -7z = -10 + 4z

Solving
34 + -7z = -10 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
34 + -7z + -4z = -10 + 4z + -4z

Combine like terms: -7z + -4z = -11z
34 + -11z = -10 + 4z + -4z

Combine like terms: 4z + -4z = 0
34 + -11z = -10 + 0
34 + -11z = -10

Add '-34' to each side of the equation.
34 + -34 + -11z = -10 + -34

Combine like terms: 34 + -34 = 0
0 + -11z = -10 + -34
-11z = -10 + -34

Combine like terms: -10 + -34 = -44
-11z = -44

Divide each side by '-11'.
z = 4

Simplifying
z = 4

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