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

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


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

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

Reorder the terms:
10 + 10n = 8(4 + 8n) + 6
10 + 10n = (4 * 8 + 8n * 8) + 6
10 + 10n = (32 + 64n) + 6

Reorder the terms:
10 + 10n = 32 + 6 + 64n

Combine like terms: 32 + 6 = 38
10 + 10n = 38 + 64n

Solving
10 + 10n = 38 + 64n

Solving for variable 'n'.

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

Add '-64n' to each side of the equation.
10 + 10n + -64n = 38 + 64n + -64n

Combine like terms: 10n + -64n = -54n
10 + -54n = 38 + 64n + -64n

Combine like terms: 64n + -64n = 0
10 + -54n = 38 + 0
10 + -54n = 38

Add '-10' to each side of the equation.
10 + -10 + -54n = 38 + -10

Combine like terms: 10 + -10 = 0
0 + -54n = 38 + -10
-54n = 38 + -10

Combine like terms: 38 + -10 = 28
-54n = 28

Divide each side by '-54'.
n = -0.5185185185

Simplifying
n = -0.5185185185

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