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

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


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

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

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

Remove parenthesis around (9 + 3n)
-12 + 8n = 9 + 3n + 6

Reorder the terms:
-12 + 8n = 9 + 6 + 3n

Combine like terms: 9 + 6 = 15
-12 + 8n = 15 + 3n

Solving
-12 + 8n = 15 + 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 = 15 + 3n + -3n

Combine like terms: 8n + -3n = 5n
-12 + 5n = 15 + 3n + -3n

Combine like terms: 3n + -3n = 0
-12 + 5n = 15 + 0
-12 + 5n = 15

Add '12' to each side of the equation.
-12 + 12 + 5n = 15 + 12

Combine like terms: -12 + 12 = 0
0 + 5n = 15 + 12
5n = 15 + 12

Combine like terms: 15 + 12 = 27
5n = 27

Divide each side by '5'.
n = 5.4

Simplifying
n = 5.4

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