2n+16+5n+31=180

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Solution for 2n+16+5n+31=180 equation:


Simplifying
2n + 16 + 5n + 31 = 180

Reorder the terms:
16 + 31 + 2n + 5n = 180

Combine like terms: 16 + 31 = 47
47 + 2n + 5n = 180

Combine like terms: 2n + 5n = 7n
47 + 7n = 180

Solving
47 + 7n = 180

Solving for variable 'n'.

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

Add '-47' to each side of the equation.
47 + -47 + 7n = 180 + -47

Combine like terms: 47 + -47 = 0
0 + 7n = 180 + -47
7n = 180 + -47

Combine like terms: 180 + -47 = 133
7n = 133

Divide each side by '7'.
n = 19

Simplifying
n = 19

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