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

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


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

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

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

Reorder the terms:
15 + 5n = -8 + 6 + 10n

Combine like terms: -8 + 6 = -2
15 + 5n = -2 + 10n

Solving
15 + 5n = -2 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
15 + 5n + -10n = -2 + 10n + -10n

Combine like terms: 5n + -10n = -5n
15 + -5n = -2 + 10n + -10n

Combine like terms: 10n + -10n = 0
15 + -5n = -2 + 0
15 + -5n = -2

Add '-15' to each side of the equation.
15 + -15 + -5n = -2 + -15

Combine like terms: 15 + -15 = 0
0 + -5n = -2 + -15
-5n = -2 + -15

Combine like terms: -2 + -15 = -17
-5n = -17

Divide each side by '-5'.
n = 3.4

Simplifying
n = 3.4

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