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Simplifying -3(4b + -10) = 0.75(-24b + 60) Reorder the terms: -3(-10 + 4b) = 0.75(-24b + 60) (-10 * -3 + 4b * -3) = 0.75(-24b + 60) (30 + -12b) = 0.75(-24b + 60) Reorder the terms: 30 + -12b = 0.75(60 + -24b) 30 + -12b = (60 * 0.75 + -24b * 0.75) 30 + -12b = (45 + -18b) Solving 30 + -12b = 45 + -18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18b' to each side of the equation. 30 + -12b + 18b = 45 + -18b + 18b Combine like terms: -12b + 18b = 6b 30 + 6b = 45 + -18b + 18b Combine like terms: -18b + 18b = 0 30 + 6b = 45 + 0 30 + 6b = 45 Add '-30' to each side of the equation. 30 + -30 + 6b = 45 + -30 Combine like terms: 30 + -30 = 0 0 + 6b = 45 + -30 6b = 45 + -30 Combine like terms: 45 + -30 = 15 6b = 15 Divide each side by '6'. b = 2.5 Simplifying b = 2.5
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