9(z+1)-4(z-4)=2(z-1)+2(z-3)

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Solution for 9(z+1)-4(z-4)=2(z-1)+2(z-3) equation: 


Simplifying
9(z + 1) + -4(z + -4) = 2(z + -1) + 2(z + -3)

Reorder the terms:
9(1 + z) + -4(z + -4) = 2(z + -1) + 2(z + -3)
(1 * 9 + z * 9) + -4(z + -4) = 2(z + -1) + 2(z + -3)
(9 + 9z) + -4(z + -4) = 2(z + -1) + 2(z + -3)

Reorder the terms:
9 + 9z + -4(-4 + z) = 2(z + -1) + 2(z + -3)
9 + 9z + (-4 * -4 + z * -4) = 2(z + -1) + 2(z + -3)
9 + 9z + (16 + -4z) = 2(z + -1) + 2(z + -3)

Reorder the terms:
9 + 16 + 9z + -4z = 2(z + -1) + 2(z + -3)

Combine like terms: 9 + 16 = 25
25 + 9z + -4z = 2(z + -1) + 2(z + -3)

Combine like terms: 9z + -4z = 5z
25 + 5z = 2(z + -1) + 2(z + -3)

Reorder the terms:
25 + 5z = 2(-1 + z) + 2(z + -3)
25 + 5z = (-1 * 2 + z * 2) + 2(z + -3)
25 + 5z = (-2 + 2z) + 2(z + -3)

Reorder the terms:
25 + 5z = -2 + 2z + 2(-3 + z)
25 + 5z = -2 + 2z + (-3 * 2 + z * 2)
25 + 5z = -2 + 2z + (-6 + 2z)

Reorder the terms:
25 + 5z = -2 + -6 + 2z + 2z

Combine like terms: -2 + -6 = -8
25 + 5z = -8 + 2z + 2z

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

Solving
25 + 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.
25 + 5z + -4z = -8 + 4z + -4z

Combine like terms: 5z + -4z = 1z
25 + 1z = -8 + 4z + -4z

Combine like terms: 4z + -4z = 0
25 + 1z = -8 + 0
25 + 1z = -8

Add '-25' to each side of the equation.
25 + -25 + 1z = -8 + -25

Combine like terms: 25 + -25 = 0
0 + 1z = -8 + -25
1z = -8 + -25

Combine like terms: -8 + -25 = -33
1z = -33

Divide each side by '1'.
z = -33

Simplifying
z = -33

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