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Simplifying 8d + -2.3(6 + -9d) = 42 8d + (6 * -2.3 + -9d * -2.3) = 42 8d + (-13.8 + 20.7d) = 42 Reorder the terms: -13.8 + 8d + 20.7d = 42 Combine like terms: 8d + 20.7d = 28.7d -13.8 + 28.7d = 42 Solving -13.8 + 28.7d = 42 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '13.8' to each side of the equation. -13.8 + 13.8 + 28.7d = 42 + 13.8 Combine like terms: -13.8 + 13.8 = 0.0 0.0 + 28.7d = 42 + 13.8 28.7d = 42 + 13.8 Combine like terms: 42 + 13.8 = 55.8 28.7d = 55.8 Divide each side by '28.7'. d = 1.944250871 Simplifying d = 1.944250871
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