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Simplifying 0.5(9d + -27) + -14 = 6 Reorder the terms: 0.5(-27 + 9d) + -14 = 6 (-27 * 0.5 + 9d * 0.5) + -14 = 6 (-13.5 + 4.5d) + -14 = 6 Reorder the terms: -13.5 + -14 + 4.5d = 6 Combine like terms: -13.5 + -14 = -27.5 -27.5 + 4.5d = 6 Solving -27.5 + 4.5d = 6 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '27.5' to each side of the equation. -27.5 + 27.5 + 4.5d = 6 + 27.5 Combine like terms: -27.5 + 27.5 = 0.0 0.0 + 4.5d = 6 + 27.5 4.5d = 6 + 27.5 Combine like terms: 6 + 27.5 = 33.5 4.5d = 33.5 Divide each side by '4.5'. d = 7.444444444 Simplifying d = 7.444444444
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