3(4+8n)=-6(-5n+4)

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Solution for 3(4+8n)=-6(-5n+4) equation:


Simplifying
3(4 + 8n) = -6(-5n + 4)
(4 * 3 + 8n * 3) = -6(-5n + 4)
(12 + 24n) = -6(-5n + 4)

Reorder the terms:
12 + 24n = -6(4 + -5n)
12 + 24n = (4 * -6 + -5n * -6)
12 + 24n = (-24 + 30n)

Solving
12 + 24n = -24 + 30n

Solving for variable 'n'.

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

Add '-30n' to each side of the equation.
12 + 24n + -30n = -24 + 30n + -30n

Combine like terms: 24n + -30n = -6n
12 + -6n = -24 + 30n + -30n

Combine like terms: 30n + -30n = 0
12 + -6n = -24 + 0
12 + -6n = -24

Add '-12' to each side of the equation.
12 + -12 + -6n = -24 + -12

Combine like terms: 12 + -12 = 0
0 + -6n = -24 + -12
-6n = -24 + -12

Combine like terms: -24 + -12 = -36
-6n = -36

Divide each side by '-6'.
n = 6

Simplifying
n = 6

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