5z+7=6z-7

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Solution for 5z+7=6z-7 equation:


Simplifying
5z + 7 = 6z + -7

Reorder the terms:
7 + 5z = 6z + -7

Reorder the terms:
7 + 5z = -7 + 6z

Solving
7 + 5z = -7 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
7 + 5z + -6z = -7 + 6z + -6z

Combine like terms: 5z + -6z = -1z
7 + -1z = -7 + 6z + -6z

Combine like terms: 6z + -6z = 0
7 + -1z = -7 + 0
7 + -1z = -7

Add '-7' to each side of the equation.
7 + -7 + -1z = -7 + -7

Combine like terms: 7 + -7 = 0
0 + -1z = -7 + -7
-1z = -7 + -7

Combine like terms: -7 + -7 = -14
-1z = -14

Divide each side by '-1'.
z = 14

Simplifying
z = 14

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