4[z-(4z+36)+9]=4(z+9)

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Solution for 4[z-(4z+36)+9]=4(z+9) equation:


Simplifying
4[z + -1(4z + 36) + 9] = 4(z + 9)

Reorder the terms:
4[z + -1(36 + 4z) + 9] = 4(z + 9)
4[z + (36 * -1 + 4z * -1) + 9] = 4(z + 9)
4[z + (-36 + -4z) + 9] = 4(z + 9)

Reorder the terms:
4[-36 + 9 + z + -4z] = 4(z + 9)

Combine like terms: -36 + 9 = -27
4[-27 + z + -4z] = 4(z + 9)

Combine like terms: z + -4z = -3z
4[-27 + -3z] = 4(z + 9)
[-27 * 4 + -3z * 4] = 4(z + 9)
[-108 + -12z] = 4(z + 9)

Reorder the terms:
-108 + -12z = 4(9 + z)
-108 + -12z = (9 * 4 + z * 4)
-108 + -12z = (36 + 4z)

Solving
-108 + -12z = 36 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-108 + -12z + -4z = 36 + 4z + -4z

Combine like terms: -12z + -4z = -16z
-108 + -16z = 36 + 4z + -4z

Combine like terms: 4z + -4z = 0
-108 + -16z = 36 + 0
-108 + -16z = 36

Add '108' to each side of the equation.
-108 + 108 + -16z = 36 + 108

Combine like terms: -108 + 108 = 0
0 + -16z = 36 + 108
-16z = 36 + 108

Combine like terms: 36 + 108 = 144
-16z = 144

Divide each side by '-16'.
z = -9

Simplifying
z = -9

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