-(n-7)=-8-7(n-3)

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Solution for -(n-7)=-8-7(n-3) equation:


Simplifying
-1(n + -7) = -8 + -7(n + -3)

Reorder the terms:
-1(-7 + n) = -8 + -7(n + -3)
(-7 * -1 + n * -1) = -8 + -7(n + -3)
(7 + -1n) = -8 + -7(n + -3)

Reorder the terms:
7 + -1n = -8 + -7(-3 + n)
7 + -1n = -8 + (-3 * -7 + n * -7)
7 + -1n = -8 + (21 + -7n)

Combine like terms: -8 + 21 = 13
7 + -1n = 13 + -7n

Solving
7 + -1n = 13 + -7n

Solving for variable 'n'.

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

Add '7n' to each side of the equation.
7 + -1n + 7n = 13 + -7n + 7n

Combine like terms: -1n + 7n = 6n
7 + 6n = 13 + -7n + 7n

Combine like terms: -7n + 7n = 0
7 + 6n = 13 + 0
7 + 6n = 13

Add '-7' to each side of the equation.
7 + -7 + 6n = 13 + -7

Combine like terms: 7 + -7 = 0
0 + 6n = 13 + -7
6n = 13 + -7

Combine like terms: 13 + -7 = 6
6n = 6

Divide each side by '6'.
n = 1

Simplifying
n = 1

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