4(1-6n)=-3(3+6n)-5n

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


Simplifying
4(1 + -6n) = -3(3 + 6n) + -5n
(1 * 4 + -6n * 4) = -3(3 + 6n) + -5n
(4 + -24n) = -3(3 + 6n) + -5n
4 + -24n = (3 * -3 + 6n * -3) + -5n
4 + -24n = (-9 + -18n) + -5n

Combine like terms: -18n + -5n = -23n
4 + -24n = -9 + -23n

Solving
4 + -24n = -9 + -23n

Solving for variable 'n'.

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

Add '23n' to each side of the equation.
4 + -24n + 23n = -9 + -23n + 23n

Combine like terms: -24n + 23n = -1n
4 + -1n = -9 + -23n + 23n

Combine like terms: -23n + 23n = 0
4 + -1n = -9 + 0
4 + -1n = -9

Add '-4' to each side of the equation.
4 + -4 + -1n = -9 + -4

Combine like terms: 4 + -4 = 0
0 + -1n = -9 + -4
-1n = -9 + -4

Combine like terms: -9 + -4 = -13
-1n = -13

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

Simplifying
n = 13

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