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Simplifying 5(b + 3) = 3b + 23 Reorder the terms: 5(3 + b) = 3b + 23 (3 * 5 + b * 5) = 3b + 23 (15 + 5b) = 3b + 23 Reorder the terms: 15 + 5b = 23 + 3b Solving 15 + 5b = 23 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 15 + 5b + -3b = 23 + 3b + -3b Combine like terms: 5b + -3b = 2b 15 + 2b = 23 + 3b + -3b Combine like terms: 3b + -3b = 0 15 + 2b = 23 + 0 15 + 2b = 23 Add '-15' to each side of the equation. 15 + -15 + 2b = 23 + -15 Combine like terms: 15 + -15 = 0 0 + 2b = 23 + -15 2b = 23 + -15 Combine like terms: 23 + -15 = 8 2b = 8 Divide each side by '2'. b = 4 Simplifying b = 4
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