7+5(-2n-1)=-5n-8

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Solution for 7+5(-2n-1)=-5n-8 equation:


Simplifying
7 + 5(-2n + -1) = -5n + -8

Reorder the terms:
7 + 5(-1 + -2n) = -5n + -8
7 + (-1 * 5 + -2n * 5) = -5n + -8
7 + (-5 + -10n) = -5n + -8

Combine like terms: 7 + -5 = 2
2 + -10n = -5n + -8

Reorder the terms:
2 + -10n = -8 + -5n

Solving
2 + -10n = -8 + -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.
2 + -10n + 5n = -8 + -5n + 5n

Combine like terms: -10n + 5n = -5n
2 + -5n = -8 + -5n + 5n

Combine like terms: -5n + 5n = 0
2 + -5n = -8 + 0
2 + -5n = -8

Add '-2' to each side of the equation.
2 + -2 + -5n = -8 + -2

Combine like terms: 2 + -2 = 0
0 + -5n = -8 + -2
-5n = -8 + -2

Combine like terms: -8 + -2 = -10
-5n = -10

Divide each side by '-5'.
n = 2

Simplifying
n = 2

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