n+5(2n+3)=37

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Solution for n+5(2n+3)=37 equation:


Simplifying
n + 5(2n + 3) = 37

Reorder the terms:
n + 5(3 + 2n) = 37
n + (3 * 5 + 2n * 5) = 37
n + (15 + 10n) = 37

Reorder the terms:
15 + n + 10n = 37

Combine like terms: n + 10n = 11n
15 + 11n = 37

Solving
15 + 11n = 37

Solving for variable 'n'.

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

Add '-15' to each side of the equation.
15 + -15 + 11n = 37 + -15

Combine like terms: 15 + -15 = 0
0 + 11n = 37 + -15
11n = 37 + -15

Combine like terms: 37 + -15 = 22
11n = 22

Divide each side by '11'.
n = 2

Simplifying
n = 2

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