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

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


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

Reorder the terms:
9(4 + z) + -3(z + -4) = 3(z + -4) + 2(z + -4)
(4 * 9 + z * 9) + -3(z + -4) = 3(z + -4) + 2(z + -4)
(36 + 9z) + -3(z + -4) = 3(z + -4) + 2(z + -4)

Reorder the terms:
36 + 9z + -3(-4 + z) = 3(z + -4) + 2(z + -4)
36 + 9z + (-4 * -3 + z * -3) = 3(z + -4) + 2(z + -4)
36 + 9z + (12 + -3z) = 3(z + -4) + 2(z + -4)

Reorder the terms:
36 + 12 + 9z + -3z = 3(z + -4) + 2(z + -4)

Combine like terms: 36 + 12 = 48
48 + 9z + -3z = 3(z + -4) + 2(z + -4)

Combine like terms: 9z + -3z = 6z
48 + 6z = 3(z + -4) + 2(z + -4)

Reorder the terms:
48 + 6z = 3(-4 + z) + 2(z + -4)
48 + 6z = (-4 * 3 + z * 3) + 2(z + -4)
48 + 6z = (-12 + 3z) + 2(z + -4)

Reorder the terms:
48 + 6z = -12 + 3z + 2(-4 + z)
48 + 6z = -12 + 3z + (-4 * 2 + z * 2)
48 + 6z = -12 + 3z + (-8 + 2z)

Reorder the terms:
48 + 6z = -12 + -8 + 3z + 2z

Combine like terms: -12 + -8 = -20
48 + 6z = -20 + 3z + 2z

Combine like terms: 3z + 2z = 5z
48 + 6z = -20 + 5z

Solving
48 + 6z = -20 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
48 + 6z + -5z = -20 + 5z + -5z

Combine like terms: 6z + -5z = 1z
48 + 1z = -20 + 5z + -5z

Combine like terms: 5z + -5z = 0
48 + 1z = -20 + 0
48 + 1z = -20

Add '-48' to each side of the equation.
48 + -48 + 1z = -20 + -48

Combine like terms: 48 + -48 = 0
0 + 1z = -20 + -48
1z = -20 + -48

Combine like terms: -20 + -48 = -68
1z = -68

Divide each side by '1'.
z = -68

Simplifying
z = -68

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