-2(5-n)-3(1+6n)=-45

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Solution for -2(5-n)-3(1+6n)=-45 equation: 


Simplifying
-2(5 + -1n) + -3(1 + 6n) = -45
(5 * -2 + -1n * -2) + -3(1 + 6n) = -45
(-10 + 2n) + -3(1 + 6n) = -45
-10 + 2n + (1 * -3 + 6n * -3) = -45
-10 + 2n + (-3 + -18n) = -45

Reorder the terms:
-10 + -3 + 2n + -18n = -45

Combine like terms: -10 + -3 = -13
-13 + 2n + -18n = -45

Combine like terms: 2n + -18n = -16n
-13 + -16n = -45

Solving
-13 + -16n = -45

Solving for variable 'n'.

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

Add '13' to each side of the equation.
-13 + 13 + -16n = -45 + 13

Combine like terms: -13 + 13 = 0
0 + -16n = -45 + 13
-16n = -45 + 13

Combine like terms: -45 + 13 = -32
-16n = -32

Divide each side by '-16'.
n = 2

Simplifying
n = 2

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