-1.9n+11.37=0.8(17-3n)

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Solution for -1.9n+11.37=0.8(17-3n) equation:


Simplifying
-1.9n + 11.37 = 0.8(17 + -3n)

Reorder the terms:
11.37 + -1.9n = 0.8(17 + -3n)
11.37 + -1.9n = (17 * 0.8 + -3n * 0.8)
11.37 + -1.9n = (13.6 + -2.4n)

Solving
11.37 + -1.9n = 13.6 + -2.4n

Solving for variable 'n'.

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

Add '2.4n' to each side of the equation.
11.37 + -1.9n + 2.4n = 13.6 + -2.4n + 2.4n

Combine like terms: -1.9n + 2.4n = 0.5n
11.37 + 0.5n = 13.6 + -2.4n + 2.4n

Combine like terms: -2.4n + 2.4n = 0.0
11.37 + 0.5n = 13.6 + 0.0
11.37 + 0.5n = 13.6

Add '-11.37' to each side of the equation.
11.37 + -11.37 + 0.5n = 13.6 + -11.37

Combine like terms: 11.37 + -11.37 = 0.00
0.00 + 0.5n = 13.6 + -11.37
0.5n = 13.6 + -11.37

Combine like terms: 13.6 + -11.37 = 2.23
0.5n = 2.23

Divide each side by '0.5'.
n = 4.46

Simplifying
n = 4.46

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