-3(n-6)=12(n-4)+7n

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Solution for -3(n-6)=12(n-4)+7n equation: 


Simplifying
-3(n + -6) = 12(n + -4) + 7n

Reorder the terms:
-3(-6 + n) = 12(n + -4) + 7n
(-6 * -3 + n * -3) = 12(n + -4) + 7n
(18 + -3n) = 12(n + -4) + 7n

Reorder the terms:
18 + -3n = 12(-4 + n) + 7n
18 + -3n = (-4 * 12 + n * 12) + 7n
18 + -3n = (-48 + 12n) + 7n

Combine like terms: 12n + 7n = 19n
18 + -3n = -48 + 19n

Solving
18 + -3n = -48 + 19n

Solving for variable 'n'.

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

Add '-19n' to each side of the equation.
18 + -3n + -19n = -48 + 19n + -19n

Combine like terms: -3n + -19n = -22n
18 + -22n = -48 + 19n + -19n

Combine like terms: 19n + -19n = 0
18 + -22n = -48 + 0
18 + -22n = -48

Add '-18' to each side of the equation.
18 + -18 + -22n = -48 + -18

Combine like terms: 18 + -18 = 0
0 + -22n = -48 + -18
-22n = -48 + -18

Combine like terms: -48 + -18 = -66
-22n = -66

Divide each side by '-22'.
n = 3

Simplifying
n = 3

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