9-5z=12-(6z+7)

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Solution for 9-5z=12-(6z+7) equation:


Simplifying
9 + -5z = 12 + -1(6z + 7)

Reorder the terms:
9 + -5z = 12 + -1(7 + 6z)
9 + -5z = 12 + (7 * -1 + 6z * -1)
9 + -5z = 12 + (-7 + -6z)

Combine like terms: 12 + -7 = 5
9 + -5z = 5 + -6z

Solving
9 + -5z = 5 + -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.
9 + -5z + 6z = 5 + -6z + 6z

Combine like terms: -5z + 6z = 1z
9 + 1z = 5 + -6z + 6z

Combine like terms: -6z + 6z = 0
9 + 1z = 5 + 0
9 + 1z = 5

Add '-9' to each side of the equation.
9 + -9 + 1z = 5 + -9

Combine like terms: 9 + -9 = 0
0 + 1z = 5 + -9
1z = 5 + -9

Combine like terms: 5 + -9 = -4
1z = -4

Divide each side by '1'.
z = -4

Simplifying
z = -4

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