40-8n=-4(3n-5)

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Solution for 40-8n=-4(3n-5) equation:


Simplifying
40 + -8n = -4(3n + -5)

Reorder the terms:
40 + -8n = -4(-5 + 3n)
40 + -8n = (-5 * -4 + 3n * -4)
40 + -8n = (20 + -12n)

Solving
40 + -8n = 20 + -12n

Solving for variable 'n'.

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

Add '12n' to each side of the equation.
40 + -8n + 12n = 20 + -12n + 12n

Combine like terms: -8n + 12n = 4n
40 + 4n = 20 + -12n + 12n

Combine like terms: -12n + 12n = 0
40 + 4n = 20 + 0
40 + 4n = 20

Add '-40' to each side of the equation.
40 + -40 + 4n = 20 + -40

Combine like terms: 40 + -40 = 0
0 + 4n = 20 + -40
4n = 20 + -40

Combine like terms: 20 + -40 = -20
4n = -20

Divide each side by '4'.
n = -5

Simplifying
n = -5

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