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

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


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

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

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

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

Combine like terms: 9 + 16 = 25
25 + 9z + -4z = 2(z + -2) + 2(z + -4)

Combine like terms: 9z + -4z = 5z
25 + 5z = 2(z + -2) + 2(z + -4)

Reorder the terms:
25 + 5z = 2(-2 + z) + 2(z + -4)
25 + 5z = (-2 * 2 + z * 2) + 2(z + -4)
25 + 5z = (-4 + 2z) + 2(z + -4)

Reorder the terms:
25 + 5z = -4 + 2z + 2(-4 + z)
25 + 5z = -4 + 2z + (-4 * 2 + z * 2)
25 + 5z = -4 + 2z + (-8 + 2z)

Reorder the terms:
25 + 5z = -4 + -8 + 2z + 2z

Combine like terms: -4 + -8 = -12
25 + 5z = -12 + 2z + 2z

Combine like terms: 2z + 2z = 4z
25 + 5z = -12 + 4z

Solving
25 + 5z = -12 + 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.
25 + 5z + -4z = -12 + 4z + -4z

Combine like terms: 5z + -4z = 1z
25 + 1z = -12 + 4z + -4z

Combine like terms: 4z + -4z = 0
25 + 1z = -12 + 0
25 + 1z = -12

Add '-25' to each side of the equation.
25 + -25 + 1z = -12 + -25

Combine like terms: 25 + -25 = 0
0 + 1z = -12 + -25
1z = -12 + -25

Combine like terms: -12 + -25 = -37
1z = -37

Divide each side by '1'.
z = -37

Simplifying
z = -37

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