0.1 (0.5 + 6) = 2
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m = 28

Step-by-step explanation:

Simplifying

0.1(0.5m + 6) = 2

Reorder the terms:

0.1(6 + 0.5m) = 2

(6 * 0.1 + 0.5m * 0.1) = 2

(0.6 + 0.05m) = 2

Solving

0.6 + 0.05m = 2

Solving for variable 'm'.

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

Add '-0.6' to each side of the equation.

0.6 + -0.6 + 0.05m = 2 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0

0.0 + 0.05m = 2 + -0.6

0.05m = 2 + -0.6

Combine like terms: 2 + -0.6 = 1.4

0.05m = 1.4

Divide each side by '0.05'.

m = 28

Simplifying

m = 28

the answer is c: divide the arc's degree measure by 360°, then multiply by the circumference of the circle.