5(2n+3)=8(6n+1)+4

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Solution for 5(2n+3)=8(6n+1)+4 equation: 


Simplifying
5(2n + 3) = 8(6n + 1) + 4

Reorder the terms:
5(3 + 2n) = 8(6n + 1) + 4
(3 * 5 + 2n * 5) = 8(6n + 1) + 4
(15 + 10n) = 8(6n + 1) + 4

Reorder the terms:
15 + 10n = 8(1 + 6n) + 4
15 + 10n = (1 * 8 + 6n * 8) + 4
15 + 10n = (8 + 48n) + 4

Reorder the terms:
15 + 10n = 8 + 4 + 48n

Combine like terms: 8 + 4 = 12
15 + 10n = 12 + 48n

Solving
15 + 10n = 12 + 48n

Solving for variable 'n'.

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

Add '-48n' to each side of the equation.
15 + 10n + -48n = 12 + 48n + -48n

Combine like terms: 10n + -48n = -38n
15 + -38n = 12 + 48n + -48n

Combine like terms: 48n + -48n = 0
15 + -38n = 12 + 0
15 + -38n = 12

Add '-15' to each side of the equation.
15 + -15 + -38n = 12 + -15

Combine like terms: 15 + -15 = 0
0 + -38n = 12 + -15
-38n = 12 + -15

Combine like terms: 12 + -15 = -3
-38n = -3

Divide each side by '-38'.
n = 0.07894736842

Simplifying
n = 0.07894736842

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