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

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


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

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

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

Solving
-25 + -5n = 7 + -7n

Solving for variable 'n'.

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

Add '7n' to each side of the equation.
-25 + -5n + 7n = 7 + -7n + 7n

Combine like terms: -5n + 7n = 2n
-25 + 2n = 7 + -7n + 7n

Combine like terms: -7n + 7n = 0
-25 + 2n = 7 + 0
-25 + 2n = 7

Add '25' to each side of the equation.
-25 + 25 + 2n = 7 + 25

Combine like terms: -25 + 25 = 0
0 + 2n = 7 + 25
2n = 7 + 25

Combine like terms: 7 + 25 = 32
2n = 32

Divide each side by '2'.
n = 16

Simplifying
n = 16

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