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

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


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

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

Reorder the terms:
9 + 9z + -2(-3 + z) = 4(z + -3) + 2(z + -3)
9 + 9z + (-3 * -2 + z * -2) = 4(z + -3) + 2(z + -3)
9 + 9z + (6 + -2z) = 4(z + -3) + 2(z + -3)

Reorder the terms:
9 + 6 + 9z + -2z = 4(z + -3) + 2(z + -3)

Combine like terms: 9 + 6 = 15
15 + 9z + -2z = 4(z + -3) + 2(z + -3)

Combine like terms: 9z + -2z = 7z
15 + 7z = 4(z + -3) + 2(z + -3)

Reorder the terms:
15 + 7z = 4(-3 + z) + 2(z + -3)
15 + 7z = (-3 * 4 + z * 4) + 2(z + -3)
15 + 7z = (-12 + 4z) + 2(z + -3)

Reorder the terms:
15 + 7z = -12 + 4z + 2(-3 + z)
15 + 7z = -12 + 4z + (-3 * 2 + z * 2)
15 + 7z = -12 + 4z + (-6 + 2z)

Reorder the terms:
15 + 7z = -12 + -6 + 4z + 2z

Combine like terms: -12 + -6 = -18
15 + 7z = -18 + 4z + 2z

Combine like terms: 4z + 2z = 6z
15 + 7z = -18 + 6z

Solving
15 + 7z = -18 + 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.
15 + 7z + -6z = -18 + 6z + -6z

Combine like terms: 7z + -6z = 1z
15 + 1z = -18 + 6z + -6z

Combine like terms: 6z + -6z = 0
15 + 1z = -18 + 0
15 + 1z = -18

Add '-15' to each side of the equation.
15 + -15 + 1z = -18 + -15

Combine like terms: 15 + -15 = 0
0 + 1z = -18 + -15
1z = -18 + -15

Combine like terms: -18 + -15 = -33
1z = -33

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

Simplifying
z = -33

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