38-8z=12+2(6z-7)

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Solution for 38-8z=12+2(6z-7) equation:


Simplifying
38 + -8z = 12 + 2(6z + -7)

Reorder the terms:
38 + -8z = 12 + 2(-7 + 6z)
38 + -8z = 12 + (-7 * 2 + 6z * 2)
38 + -8z = 12 + (-14 + 12z)

Combine like terms: 12 + -14 = -2
38 + -8z = -2 + 12z

Solving
38 + -8z = -2 + 12z

Solving for variable 'z'.

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

Add '-12z' to each side of the equation.
38 + -8z + -12z = -2 + 12z + -12z

Combine like terms: -8z + -12z = -20z
38 + -20z = -2 + 12z + -12z

Combine like terms: 12z + -12z = 0
38 + -20z = -2 + 0
38 + -20z = -2

Add '-38' to each side of the equation.
38 + -38 + -20z = -2 + -38

Combine like terms: 38 + -38 = 0
0 + -20z = -2 + -38
-20z = -2 + -38

Combine like terms: -2 + -38 = -40
-20z = -40

Divide each side by '-20'.
z = 2

Simplifying
z = 2

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