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

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


Simplifying
-3(n + 3) = 6 + -1(n + -3)

Reorder the terms:
-3(3 + n) = 6 + -1(n + -3)
(3 * -3 + n * -3) = 6 + -1(n + -3)
(-9 + -3n) = 6 + -1(n + -3)

Reorder the terms:
-9 + -3n = 6 + -1(-3 + n)
-9 + -3n = 6 + (-3 * -1 + n * -1)
-9 + -3n = 6 + (3 + -1n)

Combine like terms: 6 + 3 = 9
-9 + -3n = 9 + -1n

Solving
-9 + -3n = 9 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
-9 + -3n + n = 9 + -1n + n

Combine like terms: -3n + n = -2n
-9 + -2n = 9 + -1n + n

Combine like terms: -1n + n = 0
-9 + -2n = 9 + 0
-9 + -2n = 9

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

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

Combine like terms: 9 + 9 = 18
-2n = 18

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

Simplifying
n = -9

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