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Simplifying 5b + 6(3 + 2b) = 28 + 5b 5b + (3 * 6 + 2b * 6) = 28 + 5b 5b + (18 + 12b) = 28 + 5b Reorder the terms: 18 + 5b + 12b = 28 + 5b Combine like terms: 5b + 12b = 17b 18 + 17b = 28 + 5b Solving 18 + 17b = 28 + 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 + 17b + -5b = 28 + 5b + -5b Combine like terms: 17b + -5b = 12b 18 + 12b = 28 + 5b + -5b Combine like terms: 5b + -5b = 0 18 + 12b = 28 + 0 18 + 12b = 28 Add '-18' to each side of the equation. 18 + -18 + 12b = 28 + -18 Combine like terms: 18 + -18 = 0 0 + 12b = 28 + -18 12b = 28 + -18 Combine like terms: 28 + -18 = 10 12b = 10 Divide each side by '12'. b = 0.8333333333 Simplifying b = 0.8333333333
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