9z+7=6z-6

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Solution for 9z+7=6z-6 equation:


Simplifying
9z + 7 = 6z + -6

Reorder the terms:
7 + 9z = 6z + -6

Reorder the terms:
7 + 9z = -6 + 6z

Solving
7 + 9z = -6 + 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 + 9z + -6z = -6 + 6z + -6z

Combine like terms: 9z + -6z = 3z
7 + 3z = -6 + 6z + -6z

Combine like terms: 6z + -6z = 0
7 + 3z = -6 + 0
7 + 3z = -6

Add '-7' to each side of the equation.
7 + -7 + 3z = -6 + -7

Combine like terms: 7 + -7 = 0
0 + 3z = -6 + -7
3z = -6 + -7

Combine like terms: -6 + -7 = -13
3z = -13

Divide each side by '3'.
z = -4.333333333

Simplifying
z = -4.333333333

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