8(2n+2)=6(7n+6)+5

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Solution for 8(2n+2)=6(7n+6)+5 equation: 


Simplifying
8(2n + 2) = 6(7n + 6) + 5

Reorder the terms:
8(2 + 2n) = 6(7n + 6) + 5
(2 * 8 + 2n * 8) = 6(7n + 6) + 5
(16 + 16n) = 6(7n + 6) + 5

Reorder the terms:
16 + 16n = 6(6 + 7n) + 5
16 + 16n = (6 * 6 + 7n * 6) + 5
16 + 16n = (36 + 42n) + 5

Reorder the terms:
16 + 16n = 36 + 5 + 42n

Combine like terms: 36 + 5 = 41
16 + 16n = 41 + 42n

Solving
16 + 16n = 41 + 42n

Solving for variable 'n'.

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

Add '-42n' to each side of the equation.
16 + 16n + -42n = 41 + 42n + -42n

Combine like terms: 16n + -42n = -26n
16 + -26n = 41 + 42n + -42n

Combine like terms: 42n + -42n = 0
16 + -26n = 41 + 0
16 + -26n = 41

Add '-16' to each side of the equation.
16 + -16 + -26n = 41 + -16

Combine like terms: 16 + -16 = 0
0 + -26n = 41 + -16
-26n = 41 + -16

Combine like terms: 41 + -16 = 25
-26n = 25

Divide each side by '-26'.
n = -0.9615384615

Simplifying
n = -0.9615384615

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