3n+9=-3(n-4)+3

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Solution for 3n+9=-3(n-4)+3 equation: 


Simplifying
3n + 9 = -3(n + -4) + 3

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

Reorder the terms:
9 + 3n = -3(-4 + n) + 3
9 + 3n = (-4 * -3 + n * -3) + 3
9 + 3n = (12 + -3n) + 3

Reorder the terms:
9 + 3n = 12 + 3 + -3n

Combine like terms: 12 + 3 = 15
9 + 3n = 15 + -3n

Solving
9 + 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.
9 + 3n + 3n = 15 + -3n + 3n

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

Combine like terms: -3n + 3n = 0
9 + 6n = 15 + 0
9 + 6n = 15

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

Combine like terms: 9 + -9 = 0
0 + 6n = 15 + -9
6n = 15 + -9

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

Divide each side by '6'.
n = 1

Simplifying
n = 1

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