12z+4=2(5z+81)-12

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Solution for 12z+4=2(5z+81)-12 equation:


Simplifying
12z + 4 = 2(5z + 81) + -12

Reorder the terms:
4 + 12z = 2(5z + 81) + -12

Reorder the terms:
4 + 12z = 2(81 + 5z) + -12
4 + 12z = (81 * 2 + 5z * 2) + -12
4 + 12z = (162 + 10z) + -12

Reorder the terms:
4 + 12z = 162 + -12 + 10z

Combine like terms: 162 + -12 = 150
4 + 12z = 150 + 10z

Solving
4 + 12z = 150 + 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
4 + 12z + -10z = 150 + 10z + -10z

Combine like terms: 12z + -10z = 2z
4 + 2z = 150 + 10z + -10z

Combine like terms: 10z + -10z = 0
4 + 2z = 150 + 0
4 + 2z = 150

Add '-4' to each side of the equation.
4 + -4 + 2z = 150 + -4

Combine like terms: 4 + -4 = 0
0 + 2z = 150 + -4
2z = 150 + -4

Combine like terms: 150 + -4 = 146
2z = 146

Divide each side by '2'.
z = 73

Simplifying
z = 73

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