4(2-3n)-(n-5)=-13

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Solution for 4(2-3n)-(n-5)=-13 equation: 


Simplifying
4(2 + -3n) + -1(n + -5) = -13
(2 * 4 + -3n * 4) + -1(n + -5) = -13
(8 + -12n) + -1(n + -5) = -13

Reorder the terms:
8 + -12n + -1(-5 + n) = -13
8 + -12n + (-5 * -1 + n * -1) = -13
8 + -12n + (5 + -1n) = -13

Reorder the terms:
8 + 5 + -12n + -1n = -13

Combine like terms: 8 + 5 = 13
13 + -12n + -1n = -13

Combine like terms: -12n + -1n = -13n
13 + -13n = -13

Solving
13 + -13n = -13

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 + -13n = -13 + -13

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

Combine like terms: -13 + -13 = -26
-13n = -26

Divide each side by '-13'.
n = 2

Simplifying
n = 2

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