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Simplifying -3(4b + -10) = 0.4(-24b + 60) Reorder the terms: -3(-10 + 4b) = 0.4(-24b + 60) (-10 * -3 + 4b * -3) = 0.4(-24b + 60) (30 + -12b) = 0.4(-24b + 60) Reorder the terms: 30 + -12b = 0.4(60 + -24b) 30 + -12b = (60 * 0.4 + -24b * 0.4) 30 + -12b = (24 + -9.6b) Solving 30 + -12b = 24 + -9.6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9.6b' to each side of the equation. 30 + -12b + 9.6b = 24 + -9.6b + 9.6b Combine like terms: -12b + 9.6b = -2.4b 30 + -2.4b = 24 + -9.6b + 9.6b Combine like terms: -9.6b + 9.6b = 0.0 30 + -2.4b = 24 + 0.0 30 + -2.4b = 24 Add '-30' to each side of the equation. 30 + -30 + -2.4b = 24 + -30 Combine like terms: 30 + -30 = 0 0 + -2.4b = 24 + -30 -2.4b = 24 + -30 Combine like terms: 24 + -30 = -6 -2.4b = -6 Divide each side by '-2.4'. b = 2.5 Simplifying b = 2.5
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