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

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


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

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

Reorder the terms:
4 + 4n = 6(8 + 6n) + 8
4 + 4n = (8 * 6 + 6n * 6) + 8
4 + 4n = (48 + 36n) + 8

Reorder the terms:
4 + 4n = 48 + 8 + 36n

Combine like terms: 48 + 8 = 56
4 + 4n = 56 + 36n

Solving
4 + 4n = 56 + 36n

Solving for variable 'n'.

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

Add '-36n' to each side of the equation.
4 + 4n + -36n = 56 + 36n + -36n

Combine like terms: 4n + -36n = -32n
4 + -32n = 56 + 36n + -36n

Combine like terms: 36n + -36n = 0
4 + -32n = 56 + 0
4 + -32n = 56

Add '-4' to each side of the equation.
4 + -4 + -32n = 56 + -4

Combine like terms: 4 + -4 = 0
0 + -32n = 56 + -4
-32n = 56 + -4

Combine like terms: 56 + -4 = 52
-32n = 52

Divide each side by '-32'.
n = -1.625

Simplifying
n = -1.625

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