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

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


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

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

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

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

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

Combine like terms: 9z + -4z = 5z
34 + 5z = 2(z + -2) + 2(z + -2)

Reorder the terms:
34 + 5z = 2(-2 + z) + 2(z + -2)
34 + 5z = (-2 * 2 + z * 2) + 2(z + -2)
34 + 5z = (-4 + 2z) + 2(z + -2)

Reorder the terms:
34 + 5z = -4 + 2z + 2(-2 + z)
34 + 5z = -4 + 2z + (-2 * 2 + z * 2)
34 + 5z = -4 + 2z + (-4 + 2z)

Reorder the terms:
34 + 5z = -4 + -4 + 2z + 2z

Combine like terms: -4 + -4 = -8
34 + 5z = -8 + 2z + 2z

Combine like terms: 2z + 2z = 4z
34 + 5z = -8 + 4z

Solving
34 + 5z = -8 + 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 + 5z + -4z = -8 + 4z + -4z

Combine like terms: 5z + -4z = 1z
34 + 1z = -8 + 4z + -4z

Combine like terms: 4z + -4z = 0
34 + 1z = -8 + 0
34 + 1z = -8

Add '-34' to each side of the equation.
34 + -34 + 1z = -8 + -34

Combine like terms: 34 + -34 = 0
0 + 1z = -8 + -34
1z = -8 + -34

Combine like terms: -8 + -34 = -42
1z = -42

Divide each side by '1'.
z = -42

Simplifying
z = -42

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