2(4n-6)=3n+9

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Solution for 2(4n-6)=3n+9 equation:


Simplifying
2(4n + -6) = 3n + 9

Reorder the terms:
2(-6 + 4n) = 3n + 9
(-6 * 2 + 4n * 2) = 3n + 9
(-12 + 8n) = 3n + 9

Reorder the terms:
-12 + 8n = 9 + 3n

Solving
-12 + 8n = 9 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-12 + 8n + -3n = 9 + 3n + -3n

Combine like terms: 8n + -3n = 5n
-12 + 5n = 9 + 3n + -3n

Combine like terms: 3n + -3n = 0
-12 + 5n = 9 + 0
-12 + 5n = 9

Add '12' to each side of the equation.
-12 + 12 + 5n = 9 + 12

Combine like terms: -12 + 12 = 0
0 + 5n = 9 + 12
5n = 9 + 12

Combine like terms: 9 + 12 = 21
5n = 21

Divide each side by '5'.
n = 4.2

Simplifying
n = 4.2

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