-8+3[-5n-4]=-40-5n

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Solution for -8+3[-5n-4]=-40-5n equation:


Simplifying
-8 + 3[-5n + -4] = -40 + -5n

Reorder the terms:
-8 + 3[-4 + -5n] = -40 + -5n
-8 + [-4 * 3 + -5n * 3] = -40 + -5n
-8 + [-12 + -15n] = -40 + -5n

Combine like terms: -8 + -12 = -20
-20 + -15n = -40 + -5n

Solving
-20 + -15n = -40 + -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.
-20 + -15n + 5n = -40 + -5n + 5n

Combine like terms: -15n + 5n = -10n
-20 + -10n = -40 + -5n + 5n

Combine like terms: -5n + 5n = 0
-20 + -10n = -40 + 0
-20 + -10n = -40

Add '20' to each side of the equation.
-20 + 20 + -10n = -40 + 20

Combine like terms: -20 + 20 = 0
0 + -10n = -40 + 20
-10n = -40 + 20

Combine like terms: -40 + 20 = -20
-10n = -20

Divide each side by '-10'.
n = 2

Simplifying
n = 2

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