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Simplifying 0.5(48 + 24b) = 2(17 + -4b) (48 * 0.5 + 24b * 0.5) = 2(17 + -4b) (24 + 12b) = 2(17 + -4b) 24 + 12b = (17 * 2 + -4b * 2) 24 + 12b = (34 + -8b) Solving 24 + 12b = 34 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. 24 + 12b + 8b = 34 + -8b + 8b Combine like terms: 12b + 8b = 20b 24 + 20b = 34 + -8b + 8b Combine like terms: -8b + 8b = 0 24 + 20b = 34 + 0 24 + 20b = 34 Add '-24' to each side of the equation. 24 + -24 + 20b = 34 + -24 Combine like terms: 24 + -24 = 0 0 + 20b = 34 + -24 20b = 34 + -24 Combine like terms: 34 + -24 = 10 20b = 10 Divide each side by '20'. b = 0.5 Simplifying b = 0.5
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