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

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


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

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

Reorder the terms:
9 + 6n = -3 + 4n

Solving
9 + 6n = -3 + 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 = -3 + 4n + -4n

Combine like terms: 6n + -4n = 2n
9 + 2n = -3 + 4n + -4n

Combine like terms: 4n + -4n = 0
9 + 2n = -3 + 0
9 + 2n = -3

Add '-9' to each side of the equation.
9 + -9 + 2n = -3 + -9

Combine like terms: 9 + -9 = 0
0 + 2n = -3 + -9
2n = -3 + -9

Combine like terms: -3 + -9 = -12
2n = -12

Divide each side by '2'.
n = -6

Simplifying
n = -6

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