3z+12=7z-16

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Solution for 3z+12=7z-16 equation:


Simplifying
3z + 12 = 7z + -16

Reorder the terms:
12 + 3z = 7z + -16

Reorder the terms:
12 + 3z = -16 + 7z

Solving
12 + 3z = -16 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
12 + 3z + -7z = -16 + 7z + -7z

Combine like terms: 3z + -7z = -4z
12 + -4z = -16 + 7z + -7z

Combine like terms: 7z + -7z = 0
12 + -4z = -16 + 0
12 + -4z = -16

Add '-12' to each side of the equation.
12 + -12 + -4z = -16 + -12

Combine like terms: 12 + -12 = 0
0 + -4z = -16 + -12
-4z = -16 + -12

Combine like terms: -16 + -12 = -28
-4z = -28

Divide each side by '-4'.
z = 7

Simplifying
z = 7

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