(6z-12)+(5z+16)=180

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Solution for (6z-12)+(5z+16)=180 equation:


Simplifying
(6z + -12) + (5z + 16) = 180

Reorder the terms:
(-12 + 6z) + (5z + 16) = 180

Remove parenthesis around (-12 + 6z)
-12 + 6z + (5z + 16) = 180

Reorder the terms:
-12 + 6z + (16 + 5z) = 180

Remove parenthesis around (16 + 5z)
-12 + 6z + 16 + 5z = 180

Reorder the terms:
-12 + 16 + 6z + 5z = 180

Combine like terms: -12 + 16 = 4
4 + 6z + 5z = 180

Combine like terms: 6z + 5z = 11z
4 + 11z = 180

Solving
4 + 11z = 180

Solving for variable 'z'.

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

Add '-4' to each side of the equation.
4 + -4 + 11z = 180 + -4

Combine like terms: 4 + -4 = 0
0 + 11z = 180 + -4
11z = 180 + -4

Combine like terms: 180 + -4 = 176
11z = 176

Divide each side by '11'.
z = 16

Simplifying
z = 16

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