4(3n-2)=(4n+7)+9

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Solution for 4(3n-2)=(4n+7)+9 equation:


Simplifying
4(3n + -2) = (4n + 7) + 9

Reorder the terms:
4(-2 + 3n) = (4n + 7) + 9
(-2 * 4 + 3n * 4) = (4n + 7) + 9
(-8 + 12n) = (4n + 7) + 9

Reorder the terms:
-8 + 12n = (7 + 4n) + 9

Remove parenthesis around (7 + 4n)
-8 + 12n = 7 + 4n + 9

Reorder the terms:
-8 + 12n = 7 + 9 + 4n

Combine like terms: 7 + 9 = 16
-8 + 12n = 16 + 4n

Solving
-8 + 12n = 16 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-8 + 12n + -4n = 16 + 4n + -4n

Combine like terms: 12n + -4n = 8n
-8 + 8n = 16 + 4n + -4n

Combine like terms: 4n + -4n = 0
-8 + 8n = 16 + 0
-8 + 8n = 16

Add '8' to each side of the equation.
-8 + 8 + 8n = 16 + 8

Combine like terms: -8 + 8 = 0
0 + 8n = 16 + 8
8n = 16 + 8

Combine like terms: 16 + 8 = 24
8n = 24

Divide each side by '8'.
n = 3

Simplifying
n = 3

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