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Simplifying 5(2b + 3) = 2b + 9 Reorder the terms: 5(3 + 2b) = 2b + 9 (3 * 5 + 2b * 5) = 2b + 9 (15 + 10b) = 2b + 9 Reorder the terms: 15 + 10b = 9 + 2b Solving 15 + 10b = 9 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 15 + 10b + -2b = 9 + 2b + -2b Combine like terms: 10b + -2b = 8b 15 + 8b = 9 + 2b + -2b Combine like terms: 2b + -2b = 0 15 + 8b = 9 + 0 15 + 8b = 9 Add '-15' to each side of the equation. 15 + -15 + 8b = 9 + -15 Combine like terms: 15 + -15 = 0 0 + 8b = 9 + -15 8b = 9 + -15 Combine like terms: 9 + -15 = -6 8b = -6 Divide each side by '8'. b = -0.75 Simplifying b = -0.75
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