11(z-11)=15z-165

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Solution for 11(z-11)=15z-165 equation:


Simplifying
11(z + -11) = 15z + -165

Reorder the terms:
11(-11 + z) = 15z + -165
(-11 * 11 + z * 11) = 15z + -165
(-121 + 11z) = 15z + -165

Reorder the terms:
-121 + 11z = -165 + 15z

Solving
-121 + 11z = -165 + 15z

Solving for variable 'z'.

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

Add '-15z' to each side of the equation.
-121 + 11z + -15z = -165 + 15z + -15z

Combine like terms: 11z + -15z = -4z
-121 + -4z = -165 + 15z + -15z

Combine like terms: 15z + -15z = 0
-121 + -4z = -165 + 0
-121 + -4z = -165

Add '121' to each side of the equation.
-121 + 121 + -4z = -165 + 121

Combine like terms: -121 + 121 = 0
0 + -4z = -165 + 121
-4z = -165 + 121

Combine like terms: -165 + 121 = -44
-4z = -44

Divide each side by '-4'.
z = 11

Simplifying
z = 11

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