-24-5n=-7(8-n)-4n

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Solution for -24-5n=-7(8-n)-4n equation:


Simplifying
-24 + -5n = -7(8 + -1n) + -4n
-24 + -5n = (8 * -7 + -1n * -7) + -4n
-24 + -5n = (-56 + 7n) + -4n

Combine like terms: 7n + -4n = 3n
-24 + -5n = -56 + 3n

Solving
-24 + -5n = -56 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-24 + -5n + -3n = -56 + 3n + -3n

Combine like terms: -5n + -3n = -8n
-24 + -8n = -56 + 3n + -3n

Combine like terms: 3n + -3n = 0
-24 + -8n = -56 + 0
-24 + -8n = -56

Add '24' to each side of the equation.
-24 + 24 + -8n = -56 + 24

Combine like terms: -24 + 24 = 0
0 + -8n = -56 + 24
-8n = -56 + 24

Combine like terms: -56 + 24 = -32
-8n = -32

Divide each side by '-8'.
n = 4

Simplifying
n = 4

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