3(2n+8)=6(n+3)-24n

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Solution for 3(2n+8)=6(n+3)-24n equation:


Simplifying
3(2n + 8) = 6(n + 3) + -24n

Reorder the terms:
3(8 + 2n) = 6(n + 3) + -24n
(8 * 3 + 2n * 3) = 6(n + 3) + -24n
(24 + 6n) = 6(n + 3) + -24n

Reorder the terms:
24 + 6n = 6(3 + n) + -24n
24 + 6n = (3 * 6 + n * 6) + -24n
24 + 6n = (18 + 6n) + -24n

Combine like terms: 6n + -24n = -18n
24 + 6n = 18 + -18n

Solving
24 + 6n = 18 + -18n

Solving for variable 'n'.

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

Add '18n' to each side of the equation.
24 + 6n + 18n = 18 + -18n + 18n

Combine like terms: 6n + 18n = 24n
24 + 24n = 18 + -18n + 18n

Combine like terms: -18n + 18n = 0
24 + 24n = 18 + 0
24 + 24n = 18

Add '-24' to each side of the equation.
24 + -24 + 24n = 18 + -24

Combine like terms: 24 + -24 = 0
0 + 24n = 18 + -24
24n = 18 + -24

Combine like terms: 18 + -24 = -6
24n = -6

Divide each side by '24'.
n = -0.25

Simplifying
n = -0.25

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