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Simplifying -20 = 10(1 + 3b) -20 = (1 * 10 + 3b * 10) -20 = (10 + 30b) Solving -20 = 10 + 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. -20 + -30b = 10 + 30b + -30b Combine like terms: 30b + -30b = 0 -20 + -30b = 10 + 0 -20 + -30b = 10 Add '20' to each side of the equation. -20 + 20 + -30b = 10 + 20 Combine like terms: -20 + 20 = 0 0 + -30b = 10 + 20 -30b = 10 + 20 Combine like terms: 10 + 20 = 30 -30b = 30 Divide each side by '-30'. b = -1 Simplifying b = -1
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