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

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


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

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

Reorder the terms:
-56 + 7n = 7 + -2n

Solving
-56 + 7n = 7 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
-56 + 7n + 2n = 7 + -2n + 2n

Combine like terms: 7n + 2n = 9n
-56 + 9n = 7 + -2n + 2n

Combine like terms: -2n + 2n = 0
-56 + 9n = 7 + 0
-56 + 9n = 7

Add '56' to each side of the equation.
-56 + 56 + 9n = 7 + 56

Combine like terms: -56 + 56 = 0
0 + 9n = 7 + 56
9n = 7 + 56

Combine like terms: 7 + 56 = 63
9n = 63

Divide each side by '9'.
n = 7

Simplifying
n = 7

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