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Simplifying 10(-3b + 3) = -1 + (b + 2) Reorder the terms: 10(3 + -3b) = -1 + (b + 2) (3 * 10 + -3b * 10) = -1 + (b + 2) (30 + -30b) = -1 + (b + 2) Reorder the terms: 30 + -30b = -1 + (2 + b) Remove parenthesis around (2 + b) 30 + -30b = -1 + 2 + b Combine like terms: -1 + 2 = 1 30 + -30b = 1 + b Solving 30 + -30b = 1 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 30 + -30b + -1b = 1 + b + -1b Combine like terms: -30b + -1b = -31b 30 + -31b = 1 + b + -1b Combine like terms: b + -1b = 0 30 + -31b = 1 + 0 30 + -31b = 1 Add '-30' to each side of the equation. 30 + -30 + -31b = 1 + -30 Combine like terms: 30 + -30 = 0 0 + -31b = 1 + -30 -31b = 1 + -30 Combine like terms: 1 + -30 = -29 -31b = -29 Divide each side by '-31'. b = 0.935483871 Simplifying b = 0.935483871
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