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

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


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

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

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

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

Combine like terms: 18 + 3 = 21
21 + 9z + -3z = 3(z + -4) + 2(Z + -4)

Combine like terms: 9z + -3z = 6z
21 + 6z = 3(z + -4) + 2(Z + -4)

Reorder the terms:
21 + 6z = 3(-4 + z) + 2(Z + -4)
21 + 6z = (-4 * 3 + z * 3) + 2(Z + -4)
21 + 6z = (-12 + 3z) + 2(Z + -4)

Reorder the terms:
21 + 6z = -12 + 3z + 2(-4 + Z)
21 + 6z = -12 + 3z + (-4 * 2 + Z * 2)
21 + 6z = -12 + 3z + (-8 + 2Z)

Reorder the terms:
21 + 6z = -12 + -8 + 2Z + 3z

Combine like terms: -12 + -8 = -20
21 + 6z = -20 + 2Z + 3z

Solving
21 + 6z = -20 + 2Z + 3z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-3z' to each side of the equation.
21 + 6z + -3z = -20 + 2Z + 3z + -3z

Combine like terms: 6z + -3z = 3z
21 + 3z = -20 + 2Z + 3z + -3z

Combine like terms: 3z + -3z = 0
21 + 3z = -20 + 2Z + 0
21 + 3z = -20 + 2Z

Add '-21' to each side of the equation.
21 + -21 + 3z = -20 + -21 + 2Z

Combine like terms: 21 + -21 = 0
0 + 3z = -20 + -21 + 2Z
3z = -20 + -21 + 2Z

Combine like terms: -20 + -21 = -41
3z = -41 + 2Z

Divide each side by '3'.
z = -13.66666667 + 0.6666666667Z

Simplifying
z = -13.66666667 + 0.6666666667Z

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