-5n+7(n-1)=13+3n

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Solution for -5n+7(n-1)=13+3n equation: 


Simplifying
-5n + 7(n + -1) = 13 + 3n

Reorder the terms:
-5n + 7(-1 + n) = 13 + 3n
-5n + (-1 * 7 + n * 7) = 13 + 3n
-5n + (-7 + 7n) = 13 + 3n

Reorder the terms:
-7 + -5n + 7n = 13 + 3n

Combine like terms: -5n + 7n = 2n
-7 + 2n = 13 + 3n

Solving
-7 + 2n = 13 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-7 + 2n + -3n = 13 + 3n + -3n

Combine like terms: 2n + -3n = -1n
-7 + -1n = 13 + 3n + -3n

Combine like terms: 3n + -3n = 0
-7 + -1n = 13 + 0
-7 + -1n = 13

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

Combine like terms: -7 + 7 = 0
0 + -1n = 13 + 7
-1n = 13 + 7

Combine like terms: 13 + 7 = 20
-1n = 20

Divide each side by '-1'.
n = -20

Simplifying
n = -20

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