5(n-3)+(n-5)=-40

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Solution for 5(n-3)+(n-5)=-40 equation:


Simplifying
5(n + -3) + (n + -5) = -40

Reorder the terms:
5(-3 + n) + (n + -5) = -40
(-3 * 5 + n * 5) + (n + -5) = -40
(-15 + 5n) + (n + -5) = -40

Reorder the terms:
-15 + 5n + (-5 + n) = -40

Remove parenthesis around (-5 + n)
-15 + 5n + -5 + n = -40

Reorder the terms:
-15 + -5 + 5n + n = -40

Combine like terms: -15 + -5 = -20
-20 + 5n + n = -40

Combine like terms: 5n + n = 6n
-20 + 6n = -40

Solving
-20 + 6n = -40

Solving for variable 'n'.

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

Add '20' to each side of the equation.
-20 + 20 + 6n = -40 + 20

Combine like terms: -20 + 20 = 0
0 + 6n = -40 + 20
6n = -40 + 20

Combine like terms: -40 + 20 = -20
6n = -20

Divide each side by '6'.
n = -3.333333333

Simplifying
n = -3.333333333

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