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Simplifying (2m + 3b) * 10 = 1 Reorder the terms: (3b + 2m) * 10 = 1 Reorder the terms for easier multiplication: 10(3b + 2m) = 1 (3b * 10 + 2m * 10) = 1 (30b + 20m) = 1 Solving 30b + 20m = 1 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20m' to each side of the equation. 30b + 20m + -20m = 1 + -20m Combine like terms: 20m + -20m = 0 30b + 0 = 1 + -20m 30b = 1 + -20m Divide each side by '30'. b = 0.03333333333 + -0.6666666667m Simplifying b = 0.03333333333 + -0.6666666667m
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