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Simplifying 8d + -0.5(6 + -9d) = 42 8d + (6 * -0.5 + -9d * -0.5) = 42 8d + (-3 + 4.5d) = 42 Reorder the terms: -3 + 8d + 4.5d = 42 Combine like terms: 8d + 4.5d = 12.5d -3 + 12.5d = 42 Solving -3 + 12.5d = 42 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 12.5d = 42 + 3 Combine like terms: -3 + 3 = 0 0 + 12.5d = 42 + 3 12.5d = 42 + 3 Combine like terms: 42 + 3 = 45 12.5d = 45 Divide each side by '12.5'. d = 3.6 Simplifying d = 3.6
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