3(n+2)=6-3(n-3)

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Solution for 3(n+2)=6-3(n-3) equation:


Simplifying
3(n + 2) = 6 + -3(n + -3)

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

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

Combine like terms: 6 + 9 = 15
6 + 3n = 15 + -3n

Solving
6 + 3n = 15 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
6 + 3n + 3n = 15 + -3n + 3n

Combine like terms: 3n + 3n = 6n
6 + 6n = 15 + -3n + 3n

Combine like terms: -3n + 3n = 0
6 + 6n = 15 + 0
6 + 6n = 15

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

Combine like terms: 6 + -6 = 0
0 + 6n = 15 + -6
6n = 15 + -6

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

Divide each side by '6'.
n = 1.5

Simplifying
n = 1.5

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