2(2n+2)=7(4n+4)+4

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Solution for 2(2n+2)=7(4n+4)+4 equation: 


Simplifying
2(2n + 2) = 7(4n + 4) + 4

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

Reorder the terms:
4 + 4n = 7(4 + 4n) + 4
4 + 4n = (4 * 7 + 4n * 7) + 4
4 + 4n = (28 + 28n) + 4

Reorder the terms:
4 + 4n = 28 + 4 + 28n

Combine like terms: 28 + 4 = 32
4 + 4n = 32 + 28n

Solving
4 + 4n = 32 + 28n

Solving for variable 'n'.

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

Add '-28n' to each side of the equation.
4 + 4n + -28n = 32 + 28n + -28n

Combine like terms: 4n + -28n = -24n
4 + -24n = 32 + 28n + -28n

Combine like terms: 28n + -28n = 0
4 + -24n = 32 + 0
4 + -24n = 32

Add '-4' to each side of the equation.
4 + -4 + -24n = 32 + -4

Combine like terms: 4 + -4 = 0
0 + -24n = 32 + -4
-24n = 32 + -4

Combine like terms: 32 + -4 = 28
-24n = 28

Divide each side by '-24'.
n = -1.166666667

Simplifying
n = -1.166666667

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