241.76=8(.05m+23.7+.10(23.7))

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Solution for 241.76=8(.05m+23.7+.10(23.7)) equation: 


Simplifying
241.76 = 8(0.05m + 23.7 + 0.10(23.7))

Multiply 0.10 * 23.7
241.76 = 8(0.05m + 23.7 + 2.37)

Reorder the terms:
241.76 = 8(23.7 + 2.37 + 0.05m)

Combine like terms: 23.7 + 2.37 = 26.07
241.76 = 8(26.07 + 0.05m)
241.76 = (26.07 * 8 + 0.05m * 8)
241.76 = (208.56 + 0.4m)

Solving
241.76 = 208.56 + 0.4m

Solving for variable 'm'.

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

Add '-0.4m' to each side of the equation.
241.76 + -0.4m = 208.56 + 0.4m + -0.4m

Combine like terms: 0.4m + -0.4m = 0.0
241.76 + -0.4m = 208.56 + 0.0
241.76 + -0.4m = 208.56

Add '-241.76' to each side of the equation.
241.76 + -241.76 + -0.4m = 208.56 + -241.76

Combine like terms: 241.76 + -241.76 = 0.00
0.00 + -0.4m = 208.56 + -241.76
-0.4m = 208.56 + -241.76

Combine like terms: 208.56 + -241.76 = -33.2
-0.4m = -33.2

Divide each side by '-0.4'.
m = 83

Simplifying
m = 83

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