-5(5n-6)=-5(2n-4)-5

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Solution for -5(5n-6)=-5(2n-4)-5 equation: 


Simplifying
-5(5n + -6) = -5(2n + -4) + -5

Reorder the terms:
-5(-6 + 5n) = -5(2n + -4) + -5
(-6 * -5 + 5n * -5) = -5(2n + -4) + -5
(30 + -25n) = -5(2n + -4) + -5

Reorder the terms:
30 + -25n = -5(-4 + 2n) + -5
30 + -25n = (-4 * -5 + 2n * -5) + -5
30 + -25n = (20 + -10n) + -5

Reorder the terms:
30 + -25n = 20 + -5 + -10n

Combine like terms: 20 + -5 = 15
30 + -25n = 15 + -10n

Solving
30 + -25n = 15 + -10n

Solving for variable 'n'.

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

Add '10n' to each side of the equation.
30 + -25n + 10n = 15 + -10n + 10n

Combine like terms: -25n + 10n = -15n
30 + -15n = 15 + -10n + 10n

Combine like terms: -10n + 10n = 0
30 + -15n = 15 + 0
30 + -15n = 15

Add '-30' to each side of the equation.
30 + -30 + -15n = 15 + -30

Combine like terms: 30 + -30 = 0
0 + -15n = 15 + -30
-15n = 15 + -30

Combine like terms: 15 + -30 = -15
-15n = -15

Divide each side by '-15'.
n = 1

Simplifying
n = 1

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