2(2n+4)=8(7n+4)+7

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Solution for 2(2n+4)=8(7n+4)+7 equation:


Simplifying
2(2n + 4) = 8(7n + 4) + 7

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

Reorder the terms:
8 + 4n = 8(4 + 7n) + 7
8 + 4n = (4 * 8 + 7n * 8) + 7
8 + 4n = (32 + 56n) + 7

Reorder the terms:
8 + 4n = 32 + 7 + 56n

Combine like terms: 32 + 7 = 39
8 + 4n = 39 + 56n

Solving
8 + 4n = 39 + 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.
8 + 4n + -56n = 39 + 56n + -56n

Combine like terms: 4n + -56n = -52n
8 + -52n = 39 + 56n + -56n

Combine like terms: 56n + -56n = 0
8 + -52n = 39 + 0
8 + -52n = 39

Add '-8' to each side of the equation.
8 + -8 + -52n = 39 + -8

Combine like terms: 8 + -8 = 0
0 + -52n = 39 + -8
-52n = 39 + -8

Combine like terms: 39 + -8 = 31
-52n = 31

Divide each side by '-52'.
n = -0.5961538462

Simplifying
n = -0.5961538462

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