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

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


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

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

Reorder the terms:
8 + 8n = 8(8 + 6n) + 2
8 + 8n = (8 * 8 + 6n * 8) + 2
8 + 8n = (64 + 48n) + 2

Reorder the terms:
8 + 8n = 64 + 2 + 48n

Combine like terms: 64 + 2 = 66
8 + 8n = 66 + 48n

Solving
8 + 8n = 66 + 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.
8 + 8n + -48n = 66 + 48n + -48n

Combine like terms: 8n + -48n = -40n
8 + -40n = 66 + 48n + -48n

Combine like terms: 48n + -48n = 0
8 + -40n = 66 + 0
8 + -40n = 66

Add '-8' to each side of the equation.
8 + -8 + -40n = 66 + -8

Combine like terms: 8 + -8 = 0
0 + -40n = 66 + -8
-40n = 66 + -8

Combine like terms: 66 + -8 = 58
-40n = 58

Divide each side by '-40'.
n = -1.45

Simplifying
n = -1.45

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