5(3-6n)-2(1-3n)=-7n-4n

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Solution for 5(3-6n)-2(1-3n)=-7n-4n equation: 


Simplifying
5(3 + -6n) + -2(1 + -3n) = -7n + -4n
(3 * 5 + -6n * 5) + -2(1 + -3n) = -7n + -4n
(15 + -30n) + -2(1 + -3n) = -7n + -4n
15 + -30n + (1 * -2 + -3n * -2) = -7n + -4n
15 + -30n + (-2 + 6n) = -7n + -4n

Reorder the terms:
15 + -2 + -30n + 6n = -7n + -4n

Combine like terms: 15 + -2 = 13
13 + -30n + 6n = -7n + -4n

Combine like terms: -30n + 6n = -24n
13 + -24n = -7n + -4n

Combine like terms: -7n + -4n = -11n
13 + -24n = -11n

Solving
13 + -24n = -11n

Solving for variable 'n'.

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

Add '11n' to each side of the equation.
13 + -24n + 11n = -11n + 11n

Combine like terms: -24n + 11n = -13n
13 + -13n = -11n + 11n

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

Add '-13' to each side of the equation.
13 + -13 + -13n = 0 + -13

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

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

Divide each side by '-13'.
n = 1

Simplifying
n = 1

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