3(n+5)=1.5n+11.1-n

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Solution for 3(n+5)=1.5n+11.1-n equation: 


Simplifying
3(n + 5) = 1.5n + 11.1 + -1n

Reorder the terms:
3(5 + n) = 1.5n + 11.1 + -1n
(5 * 3 + n * 3) = 1.5n + 11.1 + -1n
(15 + 3n) = 1.5n + 11.1 + -1n

Reorder the terms:
15 + 3n = 11.1 + 1.5n + -1n

Combine like terms: 1.5n + -1n = 0.5n
15 + 3n = 11.1 + 0.5n

Solving
15 + 3n = 11.1 + 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.
15 + 3n + -0.5n = 11.1 + 0.5n + -0.5n

Combine like terms: 3n + -0.5n = 2.5n
15 + 2.5n = 11.1 + 0.5n + -0.5n

Combine like terms: 0.5n + -0.5n = 0.0
15 + 2.5n = 11.1 + 0.0
15 + 2.5n = 11.1

Add '-15' to each side of the equation.
15 + -15 + 2.5n = 11.1 + -15

Combine like terms: 15 + -15 = 0
0 + 2.5n = 11.1 + -15
2.5n = 11.1 + -15

Combine like terms: 11.1 + -15 = -3.9
2.5n = -3.9

Divide each side by '2.5'.
n = -1.56

Simplifying
n = -1.56

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