(5z+10)+(6z+16)=180

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Solution for (5z+10)+(6z+16)=180 equation:


Simplifying
(5z + 10) + (6z + 16) = 180

Reorder the terms:
(10 + 5z) + (6z + 16) = 180

Remove parenthesis around (10 + 5z)
10 + 5z + (6z + 16) = 180

Reorder the terms:
10 + 5z + (16 + 6z) = 180

Remove parenthesis around (16 + 6z)
10 + 5z + 16 + 6z = 180

Reorder the terms:
10 + 16 + 5z + 6z = 180

Combine like terms: 10 + 16 = 26
26 + 5z + 6z = 180

Combine like terms: 5z + 6z = 11z
26 + 11z = 180

Solving
26 + 11z = 180

Solving for variable 'z'.

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

Add '-26' to each side of the equation.
26 + -26 + 11z = 180 + -26

Combine like terms: 26 + -26 = 0
0 + 11z = 180 + -26
11z = 180 + -26

Combine like terms: 180 + -26 = 154
11z = 154

Divide each side by '11'.
z = 14

Simplifying
z = 14

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