-5(-4n-4)-5(n+2)=-65

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Solution for -5(-4n-4)-5(n+2)=-65 equation:


Simplifying
-5(-4n + -4) + -5(n + 2) = -65

Reorder the terms:
-5(-4 + -4n) + -5(n + 2) = -65
(-4 * -5 + -4n * -5) + -5(n + 2) = -65
(20 + 20n) + -5(n + 2) = -65

Reorder the terms:
20 + 20n + -5(2 + n) = -65
20 + 20n + (2 * -5 + n * -5) = -65
20 + 20n + (-10 + -5n) = -65

Reorder the terms:
20 + -10 + 20n + -5n = -65

Combine like terms: 20 + -10 = 10
10 + 20n + -5n = -65

Combine like terms: 20n + -5n = 15n
10 + 15n = -65

Solving
10 + 15n = -65

Solving for variable 'n'.

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

Add '-10' to each side of the equation.
10 + -10 + 15n = -65 + -10

Combine like terms: 10 + -10 = 0
0 + 15n = -65 + -10
15n = -65 + -10

Combine like terms: -65 + -10 = -75
15n = -75

Divide each side by '15'.
n = -5

Simplifying
n = -5

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