4(n+3)=n-6

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Solution for 4(n+3)=n-6 equation:


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

Reorder the terms:
4(3 + n) = n + -6
(3 * 4 + n * 4) = n + -6
(12 + 4n) = n + -6

Reorder the terms:
12 + 4n = -6 + n

Solving
12 + 4n = -6 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
12 + 4n + -1n = -6 + n + -1n

Combine like terms: 4n + -1n = 3n
12 + 3n = -6 + n + -1n

Combine like terms: n + -1n = 0
12 + 3n = -6 + 0
12 + 3n = -6

Add '-12' to each side of the equation.
12 + -12 + 3n = -6 + -12

Combine like terms: 12 + -12 = 0
0 + 3n = -6 + -12
3n = -6 + -12

Combine like terms: -6 + -12 = -18
3n = -18

Divide each side by '3'.
n = -6

Simplifying
n = -6

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