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Simplifying 31 = 10(3b + 1.6) Reorder the terms: 31 = 10(1.6 + 3b) 31 = (1.6 * 10 + 3b * 10) 31 = (16 + 30b) Solving 31 = 16 + 30b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-30b' to each side of the equation. 31 + -30b = 16 + 30b + -30b Combine like terms: 30b + -30b = 0 31 + -30b = 16 + 0 31 + -30b = 16 Add '-31' to each side of the equation. 31 + -31 + -30b = 16 + -31 Combine like terms: 31 + -31 = 0 0 + -30b = 16 + -31 -30b = 16 + -31 Combine like terms: 16 + -31 = -15 -30b = -15 Divide each side by '-30'. b = 0.5 Simplifying b = 0.5
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