-5(5n+8)=-40-n

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Solution for -5(5n+8)=-40-n equation:


Simplifying
-5(5n + 8) = -40 + -1n

Reorder the terms:
-5(8 + 5n) = -40 + -1n
(8 * -5 + 5n * -5) = -40 + -1n
(-40 + -25n) = -40 + -1n

Add '40' to each side of the equation.
-40 + 40 + -25n = -40 + 40 + -1n

Combine like terms: -40 + 40 = 0
0 + -25n = -40 + 40 + -1n
-25n = -40 + 40 + -1n

Combine like terms: -40 + 40 = 0
-25n = 0 + -1n
-25n = -1n

Solving
-25n = -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
-25n + n = -1n + n

Combine like terms: -25n + n = -24n
-24n = -1n + n

Combine like terms: -1n + n = 0
-24n = 0

Divide each side by '-24'.
n = 0

Simplifying
n = 0

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