5(-5n-1)=-10(-4n+7)

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Solution for 5(-5n-1)=-10(-4n+7) equation:


Simplifying
5(-5n + -1) = -10(-4n + 7)

Reorder the terms:
5(-1 + -5n) = -10(-4n + 7)
(-1 * 5 + -5n * 5) = -10(-4n + 7)
(-5 + -25n) = -10(-4n + 7)

Reorder the terms:
-5 + -25n = -10(7 + -4n)
-5 + -25n = (7 * -10 + -4n * -10)
-5 + -25n = (-70 + 40n)

Solving
-5 + -25n = -70 + 40n

Solving for variable 'n'.

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

Add '-40n' to each side of the equation.
-5 + -25n + -40n = -70 + 40n + -40n

Combine like terms: -25n + -40n = -65n
-5 + -65n = -70 + 40n + -40n

Combine like terms: 40n + -40n = 0
-5 + -65n = -70 + 0
-5 + -65n = -70

Add '5' to each side of the equation.
-5 + 5 + -65n = -70 + 5

Combine like terms: -5 + 5 = 0
0 + -65n = -70 + 5
-65n = -70 + 5

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

Divide each side by '-65'.
n = 1

Simplifying
n = 1

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