(-2n+8)-(-7n+1)=

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Solution for (-2n+8)-(-7n+1)= equation:


Simplifying
(-2n + 8) + -1(-7n + 1) = 0

Reorder the terms:
(8 + -2n) + -1(-7n + 1) = 0

Remove parenthesis around (8 + -2n)
8 + -2n + -1(-7n + 1) = 0

Reorder the terms:
8 + -2n + -1(1 + -7n) = 0
8 + -2n + (1 * -1 + -7n * -1) = 0
8 + -2n + (-1 + 7n) = 0

Reorder the terms:
8 + -1 + -2n + 7n = 0

Combine like terms: 8 + -1 = 7
7 + -2n + 7n = 0

Combine like terms: -2n + 7n = 5n
7 + 5n = 0

Solving
7 + 5n = 0

Solving for variable 'n'.

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

Add '-7' to each side of the equation.
7 + -7 + 5n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5n = 0 + -7
5n = 0 + -7

Combine like terms: 0 + -7 = -7
5n = -7

Divide each side by '5'.
n = -1.4

Simplifying
n = -1.4

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