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Simplifying 24 + 3b = 5(9b + 4) Reorder the terms: 24 + 3b = 5(4 + 9b) 24 + 3b = (4 * 5 + 9b * 5) 24 + 3b = (20 + 45b) Solving 24 + 3b = 20 + 45b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-45b' to each side of the equation. 24 + 3b + -45b = 20 + 45b + -45b Combine like terms: 3b + -45b = -42b 24 + -42b = 20 + 45b + -45b Combine like terms: 45b + -45b = 0 24 + -42b = 20 + 0 24 + -42b = 20 Add '-24' to each side of the equation. 24 + -24 + -42b = 20 + -24 Combine like terms: 24 + -24 = 0 0 + -42b = 20 + -24 -42b = 20 + -24 Combine like terms: 20 + -24 = -4 -42b = -4 Divide each side by '-42'. b = 0.09523809524 Simplifying b = 0.09523809524
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