3(2n-3)=(4n+5)+8

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Solution for 3(2n-3)=(4n+5)+8 equation:


Simplifying
3(2n + -3) = (4n + 5) + 8

Reorder the terms:
3(-3 + 2n) = (4n + 5) + 8
(-3 * 3 + 2n * 3) = (4n + 5) + 8
(-9 + 6n) = (4n + 5) + 8

Reorder the terms:
-9 + 6n = (5 + 4n) + 8

Remove parenthesis around (5 + 4n)
-9 + 6n = 5 + 4n + 8

Reorder the terms:
-9 + 6n = 5 + 8 + 4n

Combine like terms: 5 + 8 = 13
-9 + 6n = 13 + 4n

Solving
-9 + 6n = 13 + 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.
-9 + 6n + -4n = 13 + 4n + -4n

Combine like terms: 6n + -4n = 2n
-9 + 2n = 13 + 4n + -4n

Combine like terms: 4n + -4n = 0
-9 + 2n = 13 + 0
-9 + 2n = 13

Add '9' to each side of the equation.
-9 + 9 + 2n = 13 + 9

Combine like terms: -9 + 9 = 0
0 + 2n = 13 + 9
2n = 13 + 9

Combine like terms: 13 + 9 = 22
2n = 22

Divide each side by '2'.
n = 11

Simplifying
n = 11

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