-5(n-7)=-10(n+6)

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Solution for -5(n-7)=-10(n+6) equation:


Simplifying
-5(n + -7) = -10(n + 6)

Reorder the terms:
-5(-7 + n) = -10(n + 6)
(-7 * -5 + n * -5) = -10(n + 6)
(35 + -5n) = -10(n + 6)

Reorder the terms:
35 + -5n = -10(6 + n)
35 + -5n = (6 * -10 + n * -10)
35 + -5n = (-60 + -10n)

Solving
35 + -5n = -60 + -10n

Solving for variable 'n'.

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

Add '10n' to each side of the equation.
35 + -5n + 10n = -60 + -10n + 10n

Combine like terms: -5n + 10n = 5n
35 + 5n = -60 + -10n + 10n

Combine like terms: -10n + 10n = 0
35 + 5n = -60 + 0
35 + 5n = -60

Add '-35' to each side of the equation.
35 + -35 + 5n = -60 + -35

Combine like terms: 35 + -35 = 0
0 + 5n = -60 + -35
5n = -60 + -35

Combine like terms: -60 + -35 = -95
5n = -95

Divide each side by '5'.
n = -19

Simplifying
n = -19

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