3(2n-5)=(4n+7)+2

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Solution for 3(2n-5)=(4n+7)+2 equation:


Simplifying
3(2n + -5) = (4n + 7) + 2

Reorder the terms:
3(-5 + 2n) = (4n + 7) + 2
(-5 * 3 + 2n * 3) = (4n + 7) + 2
(-15 + 6n) = (4n + 7) + 2

Reorder the terms:
-15 + 6n = (7 + 4n) + 2

Remove parenthesis around (7 + 4n)
-15 + 6n = 7 + 4n + 2

Reorder the terms:
-15 + 6n = 7 + 2 + 4n

Combine like terms: 7 + 2 = 9
-15 + 6n = 9 + 4n

Solving
-15 + 6n = 9 + 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.
-15 + 6n + -4n = 9 + 4n + -4n

Combine like terms: 6n + -4n = 2n
-15 + 2n = 9 + 4n + -4n

Combine like terms: 4n + -4n = 0
-15 + 2n = 9 + 0
-15 + 2n = 9

Add '15' to each side of the equation.
-15 + 15 + 2n = 9 + 15

Combine like terms: -15 + 15 = 0
0 + 2n = 9 + 15
2n = 9 + 15

Combine like terms: 9 + 15 = 24
2n = 24

Divide each side by '2'.
n = 12

Simplifying
n = 12

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