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Simplifying 5(b + 3) = 3(1 + -2b) Reorder the terms: 5(3 + b) = 3(1 + -2b) (3 * 5 + b * 5) = 3(1 + -2b) (15 + 5b) = 3(1 + -2b) 15 + 5b = (1 * 3 + -2b * 3) 15 + 5b = (3 + -6b) Solving 15 + 5b = 3 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. 15 + 5b + 6b = 3 + -6b + 6b Combine like terms: 5b + 6b = 11b 15 + 11b = 3 + -6b + 6b Combine like terms: -6b + 6b = 0 15 + 11b = 3 + 0 15 + 11b = 3 Add '-15' to each side of the equation. 15 + -15 + 11b = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 11b = 3 + -15 11b = 3 + -15 Combine like terms: 3 + -15 = -12 11b = -12 Divide each side by '11'. b = -1.090909091 Simplifying b = -1.090909091
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