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Simplifying -5(7d + 4) = 32 Reorder the terms: -5(4 + 7d) = 32 (4 * -5 + 7d * -5) = 32 (-20 + -35d) = 32 Solving -20 + -35d = 32 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -35d = 32 + 20 Combine like terms: -20 + 20 = 0 0 + -35d = 32 + 20 -35d = 32 + 20 Combine like terms: 32 + 20 = 52 -35d = 52 Divide each side by '-35'. d = -1.485714286 Simplifying d = -1.485714286
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