2(2n+2)=8(7n+8)+1

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Solution for 2(2n+2)=8(7n+8)+1 equation: 


Simplifying
2(2n + 2) = 8(7n + 8) + 1

Reorder the terms:
2(2 + 2n) = 8(7n + 8) + 1
(2 * 2 + 2n * 2) = 8(7n + 8) + 1
(4 + 4n) = 8(7n + 8) + 1

Reorder the terms:
4 + 4n = 8(8 + 7n) + 1
4 + 4n = (8 * 8 + 7n * 8) + 1
4 + 4n = (64 + 56n) + 1

Reorder the terms:
4 + 4n = 64 + 1 + 56n

Combine like terms: 64 + 1 = 65
4 + 4n = 65 + 56n

Solving
4 + 4n = 65 + 56n

Solving for variable 'n'.

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

Add '-56n' to each side of the equation.
4 + 4n + -56n = 65 + 56n + -56n

Combine like terms: 4n + -56n = -52n
4 + -52n = 65 + 56n + -56n

Combine like terms: 56n + -56n = 0
4 + -52n = 65 + 0
4 + -52n = 65

Add '-4' to each side of the equation.
4 + -4 + -52n = 65 + -4

Combine like terms: 4 + -4 = 0
0 + -52n = 65 + -4
-52n = 65 + -4

Combine like terms: 65 + -4 = 61
-52n = 61

Divide each side by '-52'.
n = -1.173076923

Simplifying
n = -1.173076923

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