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Simplifying 3(2b + 6) = 5b + 20 Reorder the terms: 3(6 + 2b) = 5b + 20 (6 * 3 + 2b * 3) = 5b + 20 (18 + 6b) = 5b + 20 Reorder the terms: 18 + 6b = 20 + 5b Solving 18 + 6b = 20 + 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. 18 + 6b + -5b = 20 + 5b + -5b Combine like terms: 6b + -5b = 1b 18 + 1b = 20 + 5b + -5b Combine like terms: 5b + -5b = 0 18 + 1b = 20 + 0 18 + 1b = 20 Add '-18' to each side of the equation. 18 + -18 + 1b = 20 + -18 Combine like terms: 18 + -18 = 0 0 + 1b = 20 + -18 1b = 20 + -18 Combine like terms: 20 + -18 = 2 1b = 2 Divide each side by '1'. b = 2 Simplifying b = 2
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