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Simplifying 3(b + 3) = 5b + 21 Reorder the terms: 3(3 + b) = 5b + 21 (3 * 3 + b * 3) = 5b + 21 (9 + 3b) = 5b + 21 Reorder the terms: 9 + 3b = 21 + 5b Solving 9 + 3b = 21 + 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. 9 + 3b + -5b = 21 + 5b + -5b Combine like terms: 3b + -5b = -2b 9 + -2b = 21 + 5b + -5b Combine like terms: 5b + -5b = 0 9 + -2b = 21 + 0 9 + -2b = 21 Add '-9' to each side of the equation. 9 + -9 + -2b = 21 + -9 Combine like terms: 9 + -9 = 0 0 + -2b = 21 + -9 -2b = 21 + -9 Combine like terms: 21 + -9 = 12 -2b = 12 Divide each side by '-2'. b = -6 Simplifying b = -6
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