9(2z+3)-11=6z+100

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Solution for 9(2z+3)-11=6z+100 equation: 


Simplifying
9(2z + 3) + -11 = 6z + 100

Reorder the terms:
9(3 + 2z) + -11 = 6z + 100
(3 * 9 + 2z * 9) + -11 = 6z + 100
(27 + 18z) + -11 = 6z + 100

Reorder the terms:
27 + -11 + 18z = 6z + 100

Combine like terms: 27 + -11 = 16
16 + 18z = 6z + 100

Reorder the terms:
16 + 18z = 100 + 6z

Solving
16 + 18z = 100 + 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.
16 + 18z + -6z = 100 + 6z + -6z

Combine like terms: 18z + -6z = 12z
16 + 12z = 100 + 6z + -6z

Combine like terms: 6z + -6z = 0
16 + 12z = 100 + 0
16 + 12z = 100

Add '-16' to each side of the equation.
16 + -16 + 12z = 100 + -16

Combine like terms: 16 + -16 = 0
0 + 12z = 100 + -16
12z = 100 + -16

Combine like terms: 100 + -16 = 84
12z = 84

Divide each side by '12'.
z = 7

Simplifying
z = 7

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