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Simplifying 5(b + 7) = 3b + 9 Reorder the terms: 5(7 + b) = 3b + 9 (7 * 5 + b * 5) = 3b + 9 (35 + 5b) = 3b + 9 Reorder the terms: 35 + 5b = 9 + 3b Solving 35 + 5b = 9 + 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. 35 + 5b + -3b = 9 + 3b + -3b Combine like terms: 5b + -3b = 2b 35 + 2b = 9 + 3b + -3b Combine like terms: 3b + -3b = 0 35 + 2b = 9 + 0 35 + 2b = 9 Add '-35' to each side of the equation. 35 + -35 + 2b = 9 + -35 Combine like terms: 35 + -35 = 0 0 + 2b = 9 + -35 2b = 9 + -35 Combine like terms: 9 + -35 = -26 2b = -26 Divide each side by '2'. b = -13 Simplifying b = -13
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