(5n-18)+(2n+12)=180

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Solution for (5n-18)+(2n+12)=180 equation:


Simplifying
(5n + -18) + (2n + 12) = 180

Reorder the terms:
(-18 + 5n) + (2n + 12) = 180

Remove parenthesis around (-18 + 5n)
-18 + 5n + (2n + 12) = 180

Reorder the terms:
-18 + 5n + (12 + 2n) = 180

Remove parenthesis around (12 + 2n)
-18 + 5n + 12 + 2n = 180

Reorder the terms:
-18 + 12 + 5n + 2n = 180

Combine like terms: -18 + 12 = -6
-6 + 5n + 2n = 180

Combine like terms: 5n + 2n = 7n
-6 + 7n = 180

Solving
-6 + 7n = 180

Solving for variable 'n'.

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

Add '6' to each side of the equation.
-6 + 6 + 7n = 180 + 6

Combine like terms: -6 + 6 = 0
0 + 7n = 180 + 6
7n = 180 + 6

Combine like terms: 180 + 6 = 186
7n = 186

Divide each side by '7'.
n = 26.57142857

Simplifying
n = 26.57142857

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