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Simplifying 2(3b + 1) = 5b + 9 Reorder the terms: 2(1 + 3b) = 5b + 9 (1 * 2 + 3b * 2) = 5b + 9 (2 + 6b) = 5b + 9 Reorder the terms: 2 + 6b = 9 + 5b Solving 2 + 6b = 9 + 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. 2 + 6b + -5b = 9 + 5b + -5b Combine like terms: 6b + -5b = 1b 2 + 1b = 9 + 5b + -5b Combine like terms: 5b + -5b = 0 2 + 1b = 9 + 0 2 + 1b = 9 Add '-2' to each side of the equation. 2 + -2 + 1b = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 1b = 9 + -2 1b = 9 + -2 Combine like terms: 9 + -2 = 7 1b = 7 Divide each side by '1'. b = 7 Simplifying b = 7
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