9(z-1)-2(3z+4)=7

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Solution for 9(z-1)-2(3z+4)=7 equation: 


Simplifying
9(z + -1) + -2(3z + 4) = 7

Reorder the terms:
9(-1 + z) + -2(3z + 4) = 7
(-1 * 9 + z * 9) + -2(3z + 4) = 7
(-9 + 9z) + -2(3z + 4) = 7

Reorder the terms:
-9 + 9z + -2(4 + 3z) = 7
-9 + 9z + (4 * -2 + 3z * -2) = 7
-9 + 9z + (-8 + -6z) = 7

Reorder the terms:
-9 + -8 + 9z + -6z = 7

Combine like terms: -9 + -8 = -17
-17 + 9z + -6z = 7

Combine like terms: 9z + -6z = 3z
-17 + 3z = 7

Solving
-17 + 3z = 7

Solving for variable 'z'.

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

Add '17' to each side of the equation.
-17 + 17 + 3z = 7 + 17

Combine like terms: -17 + 17 = 0
0 + 3z = 7 + 17
3z = 7 + 17

Combine like terms: 7 + 17 = 24
3z = 24

Divide each side by '3'.
z = 8

Simplifying
z = 8

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