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

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


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

Reorder the terms:
5(7 + n) = 7(n + -5)
(7 * 5 + n * 5) = 7(n + -5)
(35 + 5n) = 7(n + -5)

Reorder the terms:
35 + 5n = 7(-5 + n)
35 + 5n = (-5 * 7 + n * 7)
35 + 5n = (-35 + 7n)

Solving
35 + 5n = -35 + 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.
35 + 5n + -7n = -35 + 7n + -7n

Combine like terms: 5n + -7n = -2n
35 + -2n = -35 + 7n + -7n

Combine like terms: 7n + -7n = 0
35 + -2n = -35 + 0
35 + -2n = -35

Add '-35' to each side of the equation.
35 + -35 + -2n = -35 + -35

Combine like terms: 35 + -35 = 0
0 + -2n = -35 + -35
-2n = -35 + -35

Combine like terms: -35 + -35 = -70
-2n = -70

Divide each side by '-2'.
n = 35

Simplifying
n = 35

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