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Simplifying 3(4b + -10) = 64(-24b + 60) Reorder the terms: 3(-10 + 4b) = 64(-24b + 60) (-10 * 3 + 4b * 3) = 64(-24b + 60) (-30 + 12b) = 64(-24b + 60) Reorder the terms: -30 + 12b = 64(60 + -24b) -30 + 12b = (60 * 64 + -24b * 64) -30 + 12b = (3840 + -1536b) Solving -30 + 12b = 3840 + -1536b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '1536b' to each side of the equation. -30 + 12b + 1536b = 3840 + -1536b + 1536b Combine like terms: 12b + 1536b = 1548b -30 + 1548b = 3840 + -1536b + 1536b Combine like terms: -1536b + 1536b = 0 -30 + 1548b = 3840 + 0 -30 + 1548b = 3840 Add '30' to each side of the equation. -30 + 30 + 1548b = 3840 + 30 Combine like terms: -30 + 30 = 0 0 + 1548b = 3840 + 30 1548b = 3840 + 30 Combine like terms: 3840 + 30 = 3870 1548b = 3870 Divide each side by '1548'. b = 2.5 Simplifying b = 2.5
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