3(1-6n)+5(n-3)=79

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Solution for 3(1-6n)+5(n-3)=79 equation: 


Simplifying
3(1 + -6n) + 5(n + -3) = 79
(1 * 3 + -6n * 3) + 5(n + -3) = 79
(3 + -18n) + 5(n + -3) = 79

Reorder the terms:
3 + -18n + 5(-3 + n) = 79
3 + -18n + (-3 * 5 + n * 5) = 79
3 + -18n + (-15 + 5n) = 79

Reorder the terms:
3 + -15 + -18n + 5n = 79

Combine like terms: 3 + -15 = -12
-12 + -18n + 5n = 79

Combine like terms: -18n + 5n = -13n
-12 + -13n = 79

Solving
-12 + -13n = 79

Solving for variable 'n'.

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

Add '12' to each side of the equation.
-12 + 12 + -13n = 79 + 12

Combine like terms: -12 + 12 = 0
0 + -13n = 79 + 12
-13n = 79 + 12

Combine like terms: 79 + 12 = 91
-13n = 91

Divide each side by '-13'.
n = -7

Simplifying
n = -7

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