12z-7-9(z-2)=z+35

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Solution for 12z-7-9(z-2)=z+35 equation: 


Simplifying
12z + -7 + -9(z + -2) = z + 35

Reorder the terms:
12z + -7 + -9(-2 + z) = z + 35
12z + -7 + (-2 * -9 + z * -9) = z + 35
12z + -7 + (18 + -9z) = z + 35

Reorder the terms:
-7 + 18 + 12z + -9z = z + 35

Combine like terms: -7 + 18 = 11
11 + 12z + -9z = z + 35

Combine like terms: 12z + -9z = 3z
11 + 3z = z + 35

Reorder the terms:
11 + 3z = 35 + z

Solving
11 + 3z = 35 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
11 + 3z + -1z = 35 + z + -1z

Combine like terms: 3z + -1z = 2z
11 + 2z = 35 + z + -1z

Combine like terms: z + -1z = 0
11 + 2z = 35 + 0
11 + 2z = 35

Add '-11' to each side of the equation.
11 + -11 + 2z = 35 + -11

Combine like terms: 11 + -11 = 0
0 + 2z = 35 + -11
2z = 35 + -11

Combine like terms: 35 + -11 = 24
2z = 24

Divide each side by '2'.
z = 12

Simplifying
z = 12

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