5(2n+3)=39+7n

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Solution for 5(2n+3)=39+7n equation:


Simplifying
5(2n + 3) = 39 + 7n

Reorder the terms:
5(3 + 2n) = 39 + 7n
(3 * 5 + 2n * 5) = 39 + 7n
(15 + 10n) = 39 + 7n

Solving
15 + 10n = 39 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
15 + 10n + -7n = 39 + 7n + -7n

Combine like terms: 10n + -7n = 3n
15 + 3n = 39 + 7n + -7n

Combine like terms: 7n + -7n = 0
15 + 3n = 39 + 0
15 + 3n = 39

Add '-15' to each side of the equation.
15 + -15 + 3n = 39 + -15

Combine like terms: 15 + -15 = 0
0 + 3n = 39 + -15
3n = 39 + -15

Combine like terms: 39 + -15 = 24
3n = 24

Divide each side by '3'.
n = 8

Simplifying
n = 8

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