4-6n=2n+8(-7n+7)

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Solution for 4-6n=2n+8(-7n+7) equation:


Simplifying
4 + -6n = 2n + 8(-7n + 7)

Reorder the terms:
4 + -6n = 2n + 8(7 + -7n)
4 + -6n = 2n + (7 * 8 + -7n * 8)
4 + -6n = 2n + (56 + -56n)

Reorder the terms:
4 + -6n = 56 + 2n + -56n

Combine like terms: 2n + -56n = -54n
4 + -6n = 56 + -54n

Solving
4 + -6n = 56 + -54n

Solving for variable 'n'.

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

Add '54n' to each side of the equation.
4 + -6n + 54n = 56 + -54n + 54n

Combine like terms: -6n + 54n = 48n
4 + 48n = 56 + -54n + 54n

Combine like terms: -54n + 54n = 0
4 + 48n = 56 + 0
4 + 48n = 56

Add '-4' to each side of the equation.
4 + -4 + 48n = 56 + -4

Combine like terms: 4 + -4 = 0
0 + 48n = 56 + -4
48n = 56 + -4

Combine like terms: 56 + -4 = 52
48n = 52

Divide each side by '48'.
n = 1.083333333

Simplifying
n = 1.083333333

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