5[z-(5z+18)+6]=4(z+3)

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Solution for 5[z-(5z+18)+6]=4(z+3) equation:


Simplifying
5[z + -1(5z + 18) + 6] = 4(z + 3)

Reorder the terms:
5[z + -1(18 + 5z) + 6] = 4(z + 3)
5[z + (18 * -1 + 5z * -1) + 6] = 4(z + 3)
5[z + (-18 + -5z) + 6] = 4(z + 3)

Reorder the terms:
5[-18 + 6 + z + -5z] = 4(z + 3)

Combine like terms: -18 + 6 = -12
5[-12 + z + -5z] = 4(z + 3)

Combine like terms: z + -5z = -4z
5[-12 + -4z] = 4(z + 3)
[-12 * 5 + -4z * 5] = 4(z + 3)
[-60 + -20z] = 4(z + 3)

Reorder the terms:
-60 + -20z = 4(3 + z)
-60 + -20z = (3 * 4 + z * 4)
-60 + -20z = (12 + 4z)

Solving
-60 + -20z = 12 + 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.
-60 + -20z + -4z = 12 + 4z + -4z

Combine like terms: -20z + -4z = -24z
-60 + -24z = 12 + 4z + -4z

Combine like terms: 4z + -4z = 0
-60 + -24z = 12 + 0
-60 + -24z = 12

Add '60' to each side of the equation.
-60 + 60 + -24z = 12 + 60

Combine like terms: -60 + 60 = 0
0 + -24z = 12 + 60
-24z = 12 + 60

Combine like terms: 12 + 60 = 72
-24z = 72

Divide each side by '-24'.
z = -3

Simplifying
z = -3

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