12z+4=2(5z-12+8)

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Solution for 12z+4=2(5z-12+8) equation:


Simplifying
12z + 4 = 2(5z + -12 + 8)

Reorder the terms:
4 + 12z = 2(5z + -12 + 8)

Reorder the terms:
4 + 12z = 2(-12 + 8 + 5z)

Combine like terms: -12 + 8 = -4
4 + 12z = 2(-4 + 5z)
4 + 12z = (-4 * 2 + 5z * 2)
4 + 12z = (-8 + 10z)

Solving
4 + 12z = -8 + 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 = -8 + 10z + -10z

Combine like terms: 12z + -10z = 2z
4 + 2z = -8 + 10z + -10z

Combine like terms: 10z + -10z = 0
4 + 2z = -8 + 0
4 + 2z = -8

Add '-4' to each side of the equation.
4 + -4 + 2z = -8 + -4

Combine like terms: 4 + -4 = 0
0 + 2z = -8 + -4
2z = -8 + -4

Combine like terms: -8 + -4 = -12
2z = -12

Divide each side by '2'.
z = -6

Simplifying
z = -6

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