5(-5n+7)=5(3-n)

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Solution for 5(-5n+7)=5(3-n) equation:


Simplifying
5(-5n + 7) = 5(3 + -1n)

Reorder the terms:
5(7 + -5n) = 5(3 + -1n)
(7 * 5 + -5n * 5) = 5(3 + -1n)
(35 + -25n) = 5(3 + -1n)
35 + -25n = (3 * 5 + -1n * 5)
35 + -25n = (15 + -5n)

Solving
35 + -25n = 15 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
35 + -25n + 5n = 15 + -5n + 5n

Combine like terms: -25n + 5n = -20n
35 + -20n = 15 + -5n + 5n

Combine like terms: -5n + 5n = 0
35 + -20n = 15 + 0
35 + -20n = 15

Add '-35' to each side of the equation.
35 + -35 + -20n = 15 + -35

Combine like terms: 35 + -35 = 0
0 + -20n = 15 + -35
-20n = 15 + -35

Combine like terms: 15 + -35 = -20
-20n = -20

Divide each side by '-20'.
n = 1

Simplifying
n = 1

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