226.14=610.09m+22.90+0.30(22.90)

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Solution for 226.14=610.09m+22.90+0.30(22.90) equation: 


Simplifying
226.14 = 610.09m + 22.90 + 0.30(22.90)

Multiply 0.30 * 22.90
226.14 = 610.09m + 22.90 + 6.87

Reorder the terms:
226.14 = 22.90 + 6.87 + 610.09m

Combine like terms: 22.90 + 6.87 = 29.77
226.14 = 29.77 + 610.09m

Solving
226.14 = 29.77 + 610.09m

Solving for variable 'm'.

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

Add '-610.09m' to each side of the equation.
226.14 + -610.09m = 29.77 + 610.09m + -610.09m

Combine like terms: 610.09m + -610.09m = 0.00
226.14 + -610.09m = 29.77 + 0.00
226.14 + -610.09m = 29.77

Add '-226.14' to each side of the equation.
226.14 + -226.14 + -610.09m = 29.77 + -226.14

Combine like terms: 226.14 + -226.14 = 0.00
0.00 + -610.09m = 29.77 + -226.14
-610.09m = 29.77 + -226.14

Combine like terms: 29.77 + -226.14 = -196.37
-610.09m = -196.37

Divide each side by '-610.09'.
m = 0.3218705437

Simplifying
m = 0.3218705437

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