9(-5n-8)=-6(8n+2)

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Solution for 9(-5n-8)=-6(8n+2) equation:


Simplifying
9(-5n + -8) = -6(8n + 2)

Reorder the terms:
9(-8 + -5n) = -6(8n + 2)
(-8 * 9 + -5n * 9) = -6(8n + 2)
(-72 + -45n) = -6(8n + 2)

Reorder the terms:
-72 + -45n = -6(2 + 8n)
-72 + -45n = (2 * -6 + 8n * -6)
-72 + -45n = (-12 + -48n)

Solving
-72 + -45n = -12 + -48n

Solving for variable 'n'.

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

Add '48n' to each side of the equation.
-72 + -45n + 48n = -12 + -48n + 48n

Combine like terms: -45n + 48n = 3n
-72 + 3n = -12 + -48n + 48n

Combine like terms: -48n + 48n = 0
-72 + 3n = -12 + 0
-72 + 3n = -12

Add '72' to each side of the equation.
-72 + 72 + 3n = -12 + 72

Combine like terms: -72 + 72 = 0
0 + 3n = -12 + 72
3n = -12 + 72

Combine like terms: -12 + 72 = 60
3n = 60

Divide each side by '3'.
n = 20

Simplifying
n = 20

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