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Simplifying 10(7 + -4d) + -9(21b + -8) = 0 (7 * 10 + -4d * 10) + -9(21b + -8) = 0 (70 + -40d) + -9(21b + -8) = 0 Reorder the terms: 70 + -40d + -9(-8 + 21b) = 0 70 + -40d + (-8 * -9 + 21b * -9) = 0 70 + -40d + (72 + -189b) = 0 Reorder the terms: 70 + 72 + -189b + -40d = 0 Combine like terms: 70 + 72 = 142 142 + -189b + -40d = 0 Solving 142 + -189b + -40d = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-142' to each side of the equation. 142 + -189b + -142 + -40d = 0 + -142 Reorder the terms: 142 + -142 + -189b + -40d = 0 + -142 Combine like terms: 142 + -142 = 0 0 + -189b + -40d = 0 + -142 -189b + -40d = 0 + -142 Combine like terms: 0 + -142 = -142 -189b + -40d = -142 Add '40d' to each side of the equation. -189b + -40d + 40d = -142 + 40d Combine like terms: -40d + 40d = 0 -189b + 0 = -142 + 40d -189b = -142 + 40d Divide each side by '-189'. b = 0.7513227513 + -0.2116402116d Simplifying b = 0.7513227513 + -0.2116402116d
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