5(n-4)-5(3n-5)=-65

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Solution for 5(n-4)-5(3n-5)=-65 equation:


Simplifying
5(n + -4) + -5(3n + -5) = -65

Reorder the terms:
5(-4 + n) + -5(3n + -5) = -65
(-4 * 5 + n * 5) + -5(3n + -5) = -65
(-20 + 5n) + -5(3n + -5) = -65

Reorder the terms:
-20 + 5n + -5(-5 + 3n) = -65
-20 + 5n + (-5 * -5 + 3n * -5) = -65
-20 + 5n + (25 + -15n) = -65

Reorder the terms:
-20 + 25 + 5n + -15n = -65

Combine like terms: -20 + 25 = 5
5 + 5n + -15n = -65

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

Solving
5 + -10n = -65

Solving for variable 'n'.

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

Add '-5' to each side of the equation.
5 + -5 + -10n = -65 + -5

Combine like terms: 5 + -5 = 0
0 + -10n = -65 + -5
-10n = -65 + -5

Combine like terms: -65 + -5 = -70
-10n = -70

Divide each side by '-10'.
n = 7

Simplifying
n = 7

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