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Simplifying 9(6d + -5) = -20 + 7d Reorder the terms: 9(-5 + 6d) = -20 + 7d (-5 * 9 + 6d * 9) = -20 + 7d (-45 + 54d) = -20 + 7d Solving -45 + 54d = -20 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. -45 + 54d + -7d = -20 + 7d + -7d Combine like terms: 54d + -7d = 47d -45 + 47d = -20 + 7d + -7d Combine like terms: 7d + -7d = 0 -45 + 47d = -20 + 0 -45 + 47d = -20 Add '45' to each side of the equation. -45 + 45 + 47d = -20 + 45 Combine like terms: -45 + 45 = 0 0 + 47d = -20 + 45 47d = -20 + 45 Combine like terms: -20 + 45 = 25 47d = 25 Divide each side by '47'. d = 0.5319148936 Simplifying d = 0.5319148936
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