3(4+n)=8-0.5n

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Solution for 3(4+n)=8-0.5n equation:


Simplifying
3(4 + n) = 8 + -0.5n
(4 * 3 + n * 3) = 8 + -0.5n
(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 = 3.5n
12 + 3.5n = 8 + -0.5n + 0.5n

Combine like terms: -0.5n + 0.5n = 0.0
12 + 3.5n = 8 + 0.0
12 + 3.5n = 8

Add '-12' to each side of the equation.
12 + -12 + 3.5n = 8 + -12

Combine like terms: 12 + -12 = 0
0 + 3.5n = 8 + -12
3.5n = 8 + -12

Combine like terms: 8 + -12 = -4
3.5n = -4

Divide each side by '3.5'.
n = -1.142857143

Simplifying
n = -1.142857143

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