13+5n=-2(n-1)-4n

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Solution for 13+5n=-2(n-1)-4n equation:


Simplifying
13 + 5n = -2(n + -1) + -4n

Reorder the terms:
13 + 5n = -2(-1 + n) + -4n
13 + 5n = (-1 * -2 + n * -2) + -4n
13 + 5n = (2 + -2n) + -4n

Combine like terms: -2n + -4n = -6n
13 + 5n = 2 + -6n

Solving
13 + 5n = 2 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
13 + 5n + 6n = 2 + -6n + 6n

Combine like terms: 5n + 6n = 11n
13 + 11n = 2 + -6n + 6n

Combine like terms: -6n + 6n = 0
13 + 11n = 2 + 0
13 + 11n = 2

Add '-13' to each side of the equation.
13 + -13 + 11n = 2 + -13

Combine like terms: 13 + -13 = 0
0 + 11n = 2 + -13
11n = 2 + -13

Combine like terms: 2 + -13 = -11
11n = -11

Divide each side by '11'.
n = -1

Simplifying
n = -1

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