5(3n+3)=2(5n-4)+6n

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Solution for 5(3n+3)=2(5n-4)+6n equation:


Simplifying
5(3n + 3) = 2(5n + -4) + 6n

Reorder the terms:
5(3 + 3n) = 2(5n + -4) + 6n
(3 * 5 + 3n * 5) = 2(5n + -4) + 6n
(15 + 15n) = 2(5n + -4) + 6n

Reorder the terms:
15 + 15n = 2(-4 + 5n) + 6n
15 + 15n = (-4 * 2 + 5n * 2) + 6n
15 + 15n = (-8 + 10n) + 6n

Combine like terms: 10n + 6n = 16n
15 + 15n = -8 + 16n

Solving
15 + 15n = -8 + 16n

Solving for variable 'n'.

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

Add '-16n' to each side of the equation.
15 + 15n + -16n = -8 + 16n + -16n

Combine like terms: 15n + -16n = -1n
15 + -1n = -8 + 16n + -16n

Combine like terms: 16n + -16n = 0
15 + -1n = -8 + 0
15 + -1n = -8

Add '-15' to each side of the equation.
15 + -15 + -1n = -8 + -15

Combine like terms: 15 + -15 = 0
0 + -1n = -8 + -15
-1n = -8 + -15

Combine like terms: -8 + -15 = -23
-1n = -23

Divide each side by '-1'.
n = 23

Simplifying
n = 23

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