3(2n+3)=8n

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


Simplifying
3(2n + 3) = 8n

Reorder the terms:
3(3 + 2n) = 8n
(3 * 3 + 2n * 3) = 8n
(9 + 6n) = 8n

Solving
9 + 6n = 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.
9 + 6n + -8n = 8n + -8n

Combine like terms: 6n + -8n = -2n
9 + -2n = 8n + -8n

Combine like terms: 8n + -8n = 0
9 + -2n = 0

Add '-9' to each side of the equation.
9 + -9 + -2n = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2n = 0 + -9
-2n = 0 + -9

Combine like terms: 0 + -9 = -9
-2n = -9

Divide each side by '-2'.
n = 4.5

Simplifying
n = 4.5

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