.75(4n-1)+.20(3n+4)=14

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Solution for .75(4n-1)+.20(3n+4)=14 equation: 


Simplifying
0.75(4n + -1) + 0.20(3n + 4) = 14

Reorder the terms:
0.75(-1 + 4n) + 0.20(3n + 4) = 14
(-1 * 0.75 + 4n * 0.75) + 0.20(3n + 4) = 14
(-0.75 + 3n) + 0.20(3n + 4) = 14

Reorder the terms:
-0.75 + 3n + 0.20(4 + 3n) = 14
-0.75 + 3n + (4 * 0.20 + 3n * 0.20) = 14
-0.75 + 3n + (0.8 + 0.6n) = 14

Reorder the terms:
-0.75 + 0.8 + 3n + 0.6n = 14

Combine like terms: -0.75 + 0.8 = 0.05
0.05 + 3n + 0.6n = 14

Combine like terms: 3n + 0.6n = 3.6n
0.05 + 3.6n = 14

Solving
0.05 + 3.6n = 14

Solving for variable 'n'.

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

Add '-0.05' to each side of the equation.
0.05 + -0.05 + 3.6n = 14 + -0.05

Combine like terms: 0.05 + -0.05 = 0.00
0.00 + 3.6n = 14 + -0.05
3.6n = 14 + -0.05

Combine like terms: 14 + -0.05 = 13.95
3.6n = 13.95

Divide each side by '3.6'.
n = 3.875

Simplifying
n = 3.875

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