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Simplifying -3(4b + -10) = 0.5(-24 + 60) Reorder the terms: -3(-10 + 4b) = 0.5(-24 + 60) (-10 * -3 + 4b * -3) = 0.5(-24 + 60) (30 + -12b) = 0.5(-24 + 60) Combine like terms: -24 + 60 = 36 30 + -12b = 0.5(36) Multiply 0.5 * 36 30 + -12b = 18 Solving 30 + -12b = 18 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -12b = 18 + -30 Combine like terms: 30 + -30 = 0 0 + -12b = 18 + -30 -12b = 18 + -30 Combine like terms: 18 + -30 = -12 -12b = -12 Divide each side by '-12'. b = 1 Simplifying b = 1
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