0.9(3n-25)=9-10.45n

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Solution for 0.9(3n-25)=9-10.45n equation:


Simplifying
0.9(3n + -25) = 9 + -10.45n

Reorder the terms:
0.9(-25 + 3n) = 9 + -10.45n
(-25 * 0.9 + 3n * 0.9) = 9 + -10.45n
(-22.5 + 2.7n) = 9 + -10.45n

Solving
-22.5 + 2.7n = 9 + -10.45n

Solving for variable 'n'.

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

Add '10.45n' to each side of the equation.
-22.5 + 2.7n + 10.45n = 9 + -10.45n + 10.45n

Combine like terms: 2.7n + 10.45n = 13.15n
-22.5 + 13.15n = 9 + -10.45n + 10.45n

Combine like terms: -10.45n + 10.45n = 0.00
-22.5 + 13.15n = 9 + 0.00
-22.5 + 13.15n = 9

Add '22.5' to each side of the equation.
-22.5 + 22.5 + 13.15n = 9 + 22.5

Combine like terms: -22.5 + 22.5 = 0.0
0.0 + 13.15n = 9 + 22.5
13.15n = 9 + 22.5

Combine like terms: 9 + 22.5 = 31.5
13.15n = 31.5

Divide each side by '13.15'.
n = 2.395437262

Simplifying
n = 2.395437262

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