3(n+4)=.5n-8

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Solution for 3(n+4)=.5n-8 equation: 


Simplifying
3(n + 4) = 0.5n + -8

Reorder the terms:
3(4 + n) = 0.5n + -8
(4 * 3 + n * 3) = 0.5n + -8
(12 + 3n) = 0.5n + -8

Reorder the terms:
12 + 3n = -8 + 0.5n

Solving
12 + 3n = -8 + 0.5n

Solving for variable 'n'.

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

Add '-0.5n' to each side of the equation.
12 + 3n + -0.5n = -8 + 0.5n + -0.5n

Combine like terms: 3n + -0.5n = 2.5n
12 + 2.5n = -8 + 0.5n + -0.5n

Combine like terms: 0.5n + -0.5n = 0.0
12 + 2.5n = -8 + 0.0
12 + 2.5n = -8

Add '-12' to each side of the equation.
12 + -12 + 2.5n = -8 + -12

Combine like terms: 12 + -12 = 0
0 + 2.5n = -8 + -12
2.5n = -8 + -12

Combine like terms: -8 + -12 = -20
2.5n = -20

Divide each side by '2.5'.
n = -8

Simplifying
n = -8

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