3(6n+5)=5n-7

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Solution for 3(6n+5)=5n-7 equation:


Simplifying
3(6n + 5) = 5n + -7

Reorder the terms:
3(5 + 6n) = 5n + -7
(5 * 3 + 6n * 3) = 5n + -7
(15 + 18n) = 5n + -7

Reorder the terms:
15 + 18n = -7 + 5n

Solving
15 + 18n = -7 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
15 + 18n + -5n = -7 + 5n + -5n

Combine like terms: 18n + -5n = 13n
15 + 13n = -7 + 5n + -5n

Combine like terms: 5n + -5n = 0
15 + 13n = -7 + 0
15 + 13n = -7

Add '-15' to each side of the equation.
15 + -15 + 13n = -7 + -15

Combine like terms: 15 + -15 = 0
0 + 13n = -7 + -15
13n = -7 + -15

Combine like terms: -7 + -15 = -22
13n = -22

Divide each side by '13'.
n = -1.692307692

Simplifying
n = -1.692307692

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