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

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


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

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

Reorder the terms:
10 + 10n = 8(3 + 6n) + 1
10 + 10n = (3 * 8 + 6n * 8) + 1
10 + 10n = (24 + 48n) + 1

Reorder the terms:
10 + 10n = 24 + 1 + 48n

Combine like terms: 24 + 1 = 25
10 + 10n = 25 + 48n

Solving
10 + 10n = 25 + 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.
10 + 10n + -48n = 25 + 48n + -48n

Combine like terms: 10n + -48n = -38n
10 + -38n = 25 + 48n + -48n

Combine like terms: 48n + -48n = 0
10 + -38n = 25 + 0
10 + -38n = 25

Add '-10' to each side of the equation.
10 + -10 + -38n = 25 + -10

Combine like terms: 10 + -10 = 0
0 + -38n = 25 + -10
-38n = 25 + -10

Combine like terms: 25 + -10 = 15
-38n = 15

Divide each side by '-38'.
n = -0.3947368421

Simplifying
n = -0.3947368421

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