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

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


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

Reorder the terms:
9(2 + z) + -2(z + -1) = 4(z + -3) + 2(z + -4)
(2 * 9 + z * 9) + -2(z + -1) = 4(z + -3) + 2(z + -4)
(18 + 9z) + -2(z + -1) = 4(z + -3) + 2(z + -4)

Reorder the terms:
18 + 9z + -2(-1 + z) = 4(z + -3) + 2(z + -4)
18 + 9z + (-1 * -2 + z * -2) = 4(z + -3) + 2(z + -4)
18 + 9z + (2 + -2z) = 4(z + -3) + 2(z + -4)

Reorder the terms:
18 + 2 + 9z + -2z = 4(z + -3) + 2(z + -4)

Combine like terms: 18 + 2 = 20
20 + 9z + -2z = 4(z + -3) + 2(z + -4)

Combine like terms: 9z + -2z = 7z
20 + 7z = 4(z + -3) + 2(z + -4)

Reorder the terms:
20 + 7z = 4(-3 + z) + 2(z + -4)
20 + 7z = (-3 * 4 + z * 4) + 2(z + -4)
20 + 7z = (-12 + 4z) + 2(z + -4)

Reorder the terms:
20 + 7z = -12 + 4z + 2(-4 + z)
20 + 7z = -12 + 4z + (-4 * 2 + z * 2)
20 + 7z = -12 + 4z + (-8 + 2z)

Reorder the terms:
20 + 7z = -12 + -8 + 4z + 2z

Combine like terms: -12 + -8 = -20
20 + 7z = -20 + 4z + 2z

Combine like terms: 4z + 2z = 6z
20 + 7z = -20 + 6z

Solving
20 + 7z = -20 + 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.
20 + 7z + -6z = -20 + 6z + -6z

Combine like terms: 7z + -6z = 1z
20 + 1z = -20 + 6z + -6z

Combine like terms: 6z + -6z = 0
20 + 1z = -20 + 0
20 + 1z = -20

Add '-20' to each side of the equation.
20 + -20 + 1z = -20 + -20

Combine like terms: 20 + -20 = 0
0 + 1z = -20 + -20
1z = -20 + -20

Combine like terms: -20 + -20 = -40
1z = -40

Divide each side by '1'.
z = -40

Simplifying
z = -40

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