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Simplifying 8d + -0.3(6 + -9d) = 42 8d + (6 * -0.3 + -9d * -0.3) = 42 8d + (-1.8 + 2.7d) = 42 Reorder the terms: -1.8 + 8d + 2.7d = 42 Combine like terms: 8d + 2.7d = 10.7d -1.8 + 10.7d = 42 Solving -1.8 + 10.7d = 42 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '1.8' to each side of the equation. -1.8 + 1.8 + 10.7d = 42 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 10.7d = 42 + 1.8 10.7d = 42 + 1.8 Combine like terms: 42 + 1.8 = 43.8 10.7d = 43.8 Divide each side by '10.7'. d = 4.093457944 Simplifying d = 4.093457944
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