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

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


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

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

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

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

Combine like terms: 36 + 4 = 40
40 + 9z + -2z = 2(z + -2) + 4(z + -3)

Combine like terms: 9z + -2z = 7z
40 + 7z = 2(z + -2) + 4(z + -3)

Reorder the terms:
40 + 7z = 2(-2 + z) + 4(z + -3)
40 + 7z = (-2 * 2 + z * 2) + 4(z + -3)
40 + 7z = (-4 + 2z) + 4(z + -3)

Reorder the terms:
40 + 7z = -4 + 2z + 4(-3 + z)
40 + 7z = -4 + 2z + (-3 * 4 + z * 4)
40 + 7z = -4 + 2z + (-12 + 4z)

Reorder the terms:
40 + 7z = -4 + -12 + 2z + 4z

Combine like terms: -4 + -12 = -16
40 + 7z = -16 + 2z + 4z

Combine like terms: 2z + 4z = 6z
40 + 7z = -16 + 6z

Solving
40 + 7z = -16 + 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.
40 + 7z + -6z = -16 + 6z + -6z

Combine like terms: 7z + -6z = 1z
40 + 1z = -16 + 6z + -6z

Combine like terms: 6z + -6z = 0
40 + 1z = -16 + 0
40 + 1z = -16

Add '-40' to each side of the equation.
40 + -40 + 1z = -16 + -40

Combine like terms: 40 + -40 = 0
0 + 1z = -16 + -40
1z = -16 + -40

Combine like terms: -16 + -40 = -56
1z = -56

Divide each side by '1'.
z = -56

Simplifying
z = -56

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