251.76=6(0.08m+30.70+0.20(30.70))

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Solution for 251.76=6(0.08m+30.70+0.20(30.70)) equation: 


Simplifying
251.76 = 6(0.08m + 30.70 + 0.20(30.70))

Multiply 0.20 * 30.70
251.76 = 6(0.08m + 30.70 + 6.14)

Reorder the terms:
251.76 = 6(30.70 + 6.14 + 0.08m)

Combine like terms: 30.70 + 6.14 = 36.84
251.76 = 6(36.84 + 0.08m)
251.76 = (36.84 * 6 + 0.08m * 6)
251.76 = (221.04 + 0.48m)

Solving
251.76 = 221.04 + 0.48m

Solving for variable 'm'.

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

Add '-0.48m' to each side of the equation.
251.76 + -0.48m = 221.04 + 0.48m + -0.48m

Combine like terms: 0.48m + -0.48m = 0.00
251.76 + -0.48m = 221.04 + 0.00
251.76 + -0.48m = 221.04

Add '-251.76' to each side of the equation.
251.76 + -251.76 + -0.48m = 221.04 + -251.76

Combine like terms: 251.76 + -251.76 = 0.00
0.00 + -0.48m = 221.04 + -251.76
-0.48m = 221.04 + -251.76

Combine like terms: 221.04 + -251.76 = -30.72
-0.48m = -30.72

Divide each side by '-0.48'.
m = 64

Simplifying
m = 64

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