6(-5n+8)=-8n-40

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Solution for 6(-5n+8)=-8n-40 equation: 


Simplifying
6(-5n + 8) = -8n + -40

Reorder the terms:
6(8 + -5n) = -8n + -40
(8 * 6 + -5n * 6) = -8n + -40
(48 + -30n) = -8n + -40

Reorder the terms:
48 + -30n = -40 + -8n

Solving
48 + -30n = -40 + -8n

Solving for variable 'n'.

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

Add '8n' to each side of the equation.
48 + -30n + 8n = -40 + -8n + 8n

Combine like terms: -30n + 8n = -22n
48 + -22n = -40 + -8n + 8n

Combine like terms: -8n + 8n = 0
48 + -22n = -40 + 0
48 + -22n = -40

Add '-48' to each side of the equation.
48 + -48 + -22n = -40 + -48

Combine like terms: 48 + -48 = 0
0 + -22n = -40 + -48
-22n = -40 + -48

Combine like terms: -40 + -48 = -88
-22n = -88

Divide each side by '-22'.
n = 4

Simplifying
n = 4

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