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

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


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

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

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

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

Combine like terms: 9 + 2 = 11
11 + 9z + -2z = 4(z + -4) + 2(z + -4)

Combine like terms: 9z + -2z = 7z
11 + 7z = 4(z + -4) + 2(z + -4)

Reorder the terms:
11 + 7z = 4(-4 + z) + 2(z + -4)
11 + 7z = (-4 * 4 + z * 4) + 2(z + -4)
11 + 7z = (-16 + 4z) + 2(z + -4)

Reorder the terms:
11 + 7z = -16 + 4z + 2(-4 + z)
11 + 7z = -16 + 4z + (-4 * 2 + z * 2)
11 + 7z = -16 + 4z + (-8 + 2z)

Reorder the terms:
11 + 7z = -16 + -8 + 4z + 2z

Combine like terms: -16 + -8 = -24
11 + 7z = -24 + 4z + 2z

Combine like terms: 4z + 2z = 6z
11 + 7z = -24 + 6z

Solving
11 + 7z = -24 + 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.
11 + 7z + -6z = -24 + 6z + -6z

Combine like terms: 7z + -6z = 1z
11 + 1z = -24 + 6z + -6z

Combine like terms: 6z + -6z = 0
11 + 1z = -24 + 0
11 + 1z = -24

Add '-11' to each side of the equation.
11 + -11 + 1z = -24 + -11

Combine like terms: 11 + -11 = 0
0 + 1z = -24 + -11
1z = -24 + -11

Combine like terms: -24 + -11 = -35
1z = -35

Divide each side by '1'.
z = -35

Simplifying
z = -35

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