3(4-n)-3(1-5n)=-27

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Solution for 3(4-n)-3(1-5n)=-27 equation: 


Simplifying
3(4 + -1n) + -3(1 + -5n) = -27
(4 * 3 + -1n * 3) + -3(1 + -5n) = -27
(12 + -3n) + -3(1 + -5n) = -27
12 + -3n + (1 * -3 + -5n * -3) = -27
12 + -3n + (-3 + 15n) = -27

Reorder the terms:
12 + -3 + -3n + 15n = -27

Combine like terms: 12 + -3 = 9
9 + -3n + 15n = -27

Combine like terms: -3n + 15n = 12n
9 + 12n = -27

Solving
9 + 12n = -27

Solving for variable 'n'.

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

Add '-9' to each side of the equation.
9 + -9 + 12n = -27 + -9

Combine like terms: 9 + -9 = 0
0 + 12n = -27 + -9
12n = -27 + -9

Combine like terms: -27 + -9 = -36
12n = -36

Divide each side by '12'.
n = -3

Simplifying
n = -3

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