9z-7=-6+4(z+6)

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Solution for 9z-7=-6+4(z+6) equation:


Simplifying
9z + -7 = -6 + 4(z + 6)

Reorder the terms:
-7 + 9z = -6 + 4(z + 6)

Reorder the terms:
-7 + 9z = -6 + 4(6 + z)
-7 + 9z = -6 + (6 * 4 + z * 4)
-7 + 9z = -6 + (24 + 4z)

Combine like terms: -6 + 24 = 18
-7 + 9z = 18 + 4z

Solving
-7 + 9z = 18 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-7 + 9z + -4z = 18 + 4z + -4z

Combine like terms: 9z + -4z = 5z
-7 + 5z = 18 + 4z + -4z

Combine like terms: 4z + -4z = 0
-7 + 5z = 18 + 0
-7 + 5z = 18

Add '7' to each side of the equation.
-7 + 7 + 5z = 18 + 7

Combine like terms: -7 + 7 = 0
0 + 5z = 18 + 7
5z = 18 + 7

Combine like terms: 18 + 7 = 25
5z = 25

Divide each side by '5'.
z = 5

Simplifying
z = 5

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