5(n+3)=6n

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


Simplifying
5(n + 3) = 6n

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

Solving
15 + 5n = 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
15 + 5n + -6n = 6n + -6n

Combine like terms: 5n + -6n = -1n
15 + -1n = 6n + -6n

Combine like terms: 6n + -6n = 0
15 + -1n = 0

Add '-15' to each side of the equation.
15 + -15 + -1n = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1n = 0 + -15
-1n = 0 + -15

Combine like terms: 0 + -15 = -15
-1n = -15

Divide each side by '-1'.
n = 15

Simplifying
n = 15

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