190.33=7(0.07m+20.90+0.10(20.90))

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Solution for 190.33=7(0.07m+20.90+0.10(20.90)) equation: 


Simplifying
190.33 = 7(0.07m + 20.90 + 0.10(20.90))

Multiply 0.10 * 20.90
190.33 = 7(0.07m + 20.90 + 2.09)

Reorder the terms:
190.33 = 7(20.90 + 2.09 + 0.07m)

Combine like terms: 20.90 + 2.09 = 22.99
190.33 = 7(22.99 + 0.07m)
190.33 = (22.99 * 7 + 0.07m * 7)
190.33 = (160.93 + 0.49m)

Solving
190.33 = 160.93 + 0.49m

Solving for variable 'm'.

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

Add '-0.49m' to each side of the equation.
190.33 + -0.49m = 160.93 + 0.49m + -0.49m

Combine like terms: 0.49m + -0.49m = 0.00
190.33 + -0.49m = 160.93 + 0.00
190.33 + -0.49m = 160.93

Add '-190.33' to each side of the equation.
190.33 + -190.33 + -0.49m = 160.93 + -190.33

Combine like terms: 190.33 + -190.33 = 0.00
0.00 + -0.49m = 160.93 + -190.33
-0.49m = 160.93 + -190.33

Combine like terms: 160.93 + -190.33 = -29.4
-0.49m = -29.4

Divide each side by '-0.49'.
m = 60

Simplifying
m = 60

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