253.80=6(0.07m+30.70+0.20(30.70))

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Solution for 253.80=6(0.07m+30.70+0.20(30.70)) equation: 


Simplifying
253.80 = 6(0.07m + 30.70 + 0.20(30.70))

Multiply 0.20 * 30.70
253.80 = 6(0.07m + 30.70 + 6.14)

Reorder the terms:
253.80 = 6(30.70 + 6.14 + 0.07m)

Combine like terms: 30.70 + 6.14 = 36.84
253.80 = 6(36.84 + 0.07m)
253.80 = (36.84 * 6 + 0.07m * 6)
253.80 = (221.04 + 0.42m)

Solving
253.80 = 221.04 + 0.42m

Solving for variable 'm'.

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

Add '-0.42m' to each side of the equation.
253.80 + -0.42m = 221.04 + 0.42m + -0.42m

Combine like terms: 0.42m + -0.42m = 0.00
253.80 + -0.42m = 221.04 + 0.00
253.80 + -0.42m = 221.04

Add '-253.80' to each side of the equation.
253.80 + -253.80 + -0.42m = 221.04 + -253.80

Combine like terms: 253.80 + -253.80 = 0.00
0.00 + -0.42m = 221.04 + -253.80
-0.42m = 221.04 + -253.80

Combine like terms: 221.04 + -253.80 = -32.76
-0.42m = -32.76

Divide each side by '-0.42'.
m = 78

Simplifying
m = 78

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