3(n+7)=8n-9

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Solution for 3(n+7)=8n-9 equation:


Simplifying
3(n + 7) = 8n + -9

Reorder the terms:
3(7 + n) = 8n + -9
(7 * 3 + n * 3) = 8n + -9
(21 + 3n) = 8n + -9

Reorder the terms:
21 + 3n = -9 + 8n

Solving
21 + 3n = -9 + 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.
21 + 3n + -8n = -9 + 8n + -8n

Combine like terms: 3n + -8n = -5n
21 + -5n = -9 + 8n + -8n

Combine like terms: 8n + -8n = 0
21 + -5n = -9 + 0
21 + -5n = -9

Add '-21' to each side of the equation.
21 + -21 + -5n = -9 + -21

Combine like terms: 21 + -21 = 0
0 + -5n = -9 + -21
-5n = -9 + -21

Combine like terms: -9 + -21 = -30
-5n = -30

Divide each side by '-5'.
n = 6

Simplifying
n = 6

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