6(n-3)=-3n

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


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

Reorder the terms:
6(-3 + n) = -3n
(-3 * 6 + n * 6) = -3n
(-18 + 6n) = -3n

Solving
-18 + 6n = -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.
-18 + 6n + 3n = -3n + 3n

Combine like terms: 6n + 3n = 9n
-18 + 9n = -3n + 3n

Combine like terms: -3n + 3n = 0
-18 + 9n = 0

Add '18' to each side of the equation.
-18 + 18 + 9n = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 9n = 0 + 18
9n = 0 + 18

Combine like terms: 0 + 18 = 18
9n = 18

Divide each side by '9'.
n = 2

Simplifying
n = 2

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