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Simplifying 14b + 24 = 5(b + 3) Reorder the terms: 24 + 14b = 5(b + 3) Reorder the terms: 24 + 14b = 5(3 + b) 24 + 14b = (3 * 5 + b * 5) 24 + 14b = (15 + 5b) Solving 24 + 14b = 15 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 24 + 14b + -5b = 15 + 5b + -5b Combine like terms: 14b + -5b = 9b 24 + 9b = 15 + 5b + -5b Combine like terms: 5b + -5b = 0 24 + 9b = 15 + 0 24 + 9b = 15 Add '-24' to each side of the equation. 24 + -24 + 9b = 15 + -24 Combine like terms: 24 + -24 = 0 0 + 9b = 15 + -24 9b = 15 + -24 Combine like terms: 15 + -24 = -9 9b = -9 Divide each side by '9'. b = -1 Simplifying b = -1
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