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

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


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

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

Reorder the terms:
9 + 6n = 3(-3 + 5n)
9 + 6n = (-3 * 3 + 5n * 3)
9 + 6n = (-9 + 15n)

Solving
9 + 6n = -9 + 15n

Solving for variable 'n'.

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

Add '-15n' to each side of the equation.
9 + 6n + -15n = -9 + 15n + -15n

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

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

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

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

Combine like terms: -9 + -9 = -18
-9n = -18

Divide each side by '-9'.
n = 2

Simplifying
n = 2

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