(n+7)+(3n-47)=180

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Solution for (n+7)+(3n-47)=180 equation:


Simplifying
(n + 7) + (3n + -47) = 180

Reorder the terms:
(7 + n) + (3n + -47) = 180

Remove parenthesis around (7 + n)
7 + n + (3n + -47) = 180

Reorder the terms:
7 + n + (-47 + 3n) = 180

Remove parenthesis around (-47 + 3n)
7 + n + -47 + 3n = 180

Reorder the terms:
7 + -47 + n + 3n = 180

Combine like terms: 7 + -47 = -40
-40 + n + 3n = 180

Combine like terms: n + 3n = 4n
-40 + 4n = 180

Solving
-40 + 4n = 180

Solving for variable 'n'.

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

Add '40' to each side of the equation.
-40 + 40 + 4n = 180 + 40

Combine like terms: -40 + 40 = 0
0 + 4n = 180 + 40
4n = 180 + 40

Combine like terms: 180 + 40 = 220
4n = 220

Divide each side by '4'.
n = 55

Simplifying
n = 55

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