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Simplifying 8d + -0.34(6 + -9d) = 42 8d + (6 * -0.34 + -9d * -0.34) = 42 8d + (-2.04 + 3.06d) = 42 Reorder the terms: -2.04 + 8d + 3.06d = 42 Combine like terms: 8d + 3.06d = 11.06d -2.04 + 11.06d = 42 Solving -2.04 + 11.06d = 42 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2.04' to each side of the equation. -2.04 + 2.04 + 11.06d = 42 + 2.04 Combine like terms: -2.04 + 2.04 = 0.00 0.00 + 11.06d = 42 + 2.04 11.06d = 42 + 2.04 Combine like terms: 42 + 2.04 = 44.04 11.06d = 44.04 Divide each side by '11.06'. d = 3.981916817 Simplifying d = 3.981916817
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