3(n+4)=18-n

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Solution for 3(n+4)=18-n equation:


Simplifying
3(n + 4) = 18 + -1n

Reorder the terms:
3(4 + n) = 18 + -1n
(4 * 3 + n * 3) = 18 + -1n
(12 + 3n) = 18 + -1n

Solving
12 + 3n = 18 + -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.
12 + 3n + n = 18 + -1n + n

Combine like terms: 3n + n = 4n
12 + 4n = 18 + -1n + n

Combine like terms: -1n + n = 0
12 + 4n = 18 + 0
12 + 4n = 18

Add '-12' to each side of the equation.
12 + -12 + 4n = 18 + -12

Combine like terms: 12 + -12 = 0
0 + 4n = 18 + -12
4n = 18 + -12

Combine like terms: 18 + -12 = 6
4n = 6

Divide each side by '4'.
n = 1.5

Simplifying
n = 1.5

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