-(5n-7)=-8(6+2n)

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Solution for -(5n-7)=-8(6+2n) equation:


Simplifying
-1(5n + -7) = -8(6 + 2n)

Reorder the terms:
-1(-7 + 5n) = -8(6 + 2n)
(-7 * -1 + 5n * -1) = -8(6 + 2n)
(7 + -5n) = -8(6 + 2n)
7 + -5n = (6 * -8 + 2n * -8)
7 + -5n = (-48 + -16n)

Solving
7 + -5n = -48 + -16n

Solving for variable 'n'.

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

Add '16n' to each side of the equation.
7 + -5n + 16n = -48 + -16n + 16n

Combine like terms: -5n + 16n = 11n
7 + 11n = -48 + -16n + 16n

Combine like terms: -16n + 16n = 0
7 + 11n = -48 + 0
7 + 11n = -48

Add '-7' to each side of the equation.
7 + -7 + 11n = -48 + -7

Combine like terms: 7 + -7 = 0
0 + 11n = -48 + -7
11n = -48 + -7

Combine like terms: -48 + -7 = -55
11n = -55

Divide each side by '11'.
n = -5

Simplifying
n = -5

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