6(7-5n)=-12-3n

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Solution for 6(7-5n)=-12-3n equation:


Simplifying
6(7 + -5n) = -12 + -3n
(7 * 6 + -5n * 6) = -12 + -3n
(42 + -30n) = -12 + -3n

Solving
42 + -30n = -12 + -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.
42 + -30n + 3n = -12 + -3n + 3n

Combine like terms: -30n + 3n = -27n
42 + -27n = -12 + -3n + 3n

Combine like terms: -3n + 3n = 0
42 + -27n = -12 + 0
42 + -27n = -12

Add '-42' to each side of the equation.
42 + -42 + -27n = -12 + -42

Combine like terms: 42 + -42 = 0
0 + -27n = -12 + -42
-27n = -12 + -42

Combine like terms: -12 + -42 = -54
-27n = -54

Divide each side by '-27'.
n = 2

Simplifying
n = 2

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