5(n+7)=-50-5(n-3)

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Solution for 5(n+7)=-50-5(n-3) equation:


Simplifying
5(n + 7) = -50 + -5(n + -3)

Reorder the terms:
5(7 + n) = -50 + -5(n + -3)
(7 * 5 + n * 5) = -50 + -5(n + -3)
(35 + 5n) = -50 + -5(n + -3)

Reorder the terms:
35 + 5n = -50 + -5(-3 + n)
35 + 5n = -50 + (-3 * -5 + n * -5)
35 + 5n = -50 + (15 + -5n)

Combine like terms: -50 + 15 = -35
35 + 5n = -35 + -5n

Solving
35 + 5n = -35 + -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 + 5n + 5n = -35 + -5n + 5n

Combine like terms: 5n + 5n = 10n
35 + 10n = -35 + -5n + 5n

Combine like terms: -5n + 5n = 0
35 + 10n = -35 + 0
35 + 10n = -35

Add '-35' to each side of the equation.
35 + -35 + 10n = -35 + -35

Combine like terms: 35 + -35 = 0
0 + 10n = -35 + -35
10n = -35 + -35

Combine like terms: -35 + -35 = -70
10n = -70

Divide each side by '10'.
n = -7

Simplifying
n = -7

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