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Simplifying 9(8d + -5) + 13 = 20d + -2 Reorder the terms: 9(-5 + 8d) + 13 = 20d + -2 (-5 * 9 + 8d * 9) + 13 = 20d + -2 (-45 + 72d) + 13 = 20d + -2 Reorder the terms: -45 + 13 + 72d = 20d + -2 Combine like terms: -45 + 13 = -32 -32 + 72d = 20d + -2 Reorder the terms: -32 + 72d = -2 + 20d Solving -32 + 72d = -2 + 20d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-20d' to each side of the equation. -32 + 72d + -20d = -2 + 20d + -20d Combine like terms: 72d + -20d = 52d -32 + 52d = -2 + 20d + -20d Combine like terms: 20d + -20d = 0 -32 + 52d = -2 + 0 -32 + 52d = -2 Add '32' to each side of the equation. -32 + 32 + 52d = -2 + 32 Combine like terms: -32 + 32 = 0 0 + 52d = -2 + 32 52d = -2 + 32 Combine like terms: -2 + 32 = 30 52d = 30 Divide each side by '52'. d = 0.5769230769 Simplifying d = 0.5769230769
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