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Simplifying -6(7 + -8d) = 32 (7 * -6 + -8d * -6) = 32 (-42 + 48d) = 32 Solving -42 + 48d = 32 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 48d = 32 + 42 Combine like terms: -42 + 42 = 0 0 + 48d = 32 + 42 48d = 32 + 42 Combine like terms: 32 + 42 = 74 48d = 74 Divide each side by '48'. d = 1.541666667 Simplifying d = 1.541666667
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