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Simplifying 9(8d + -5) + 13 = 12d + 2 Reorder the terms: 9(-5 + 8d) + 13 = 12d + 2 (-5 * 9 + 8d * 9) + 13 = 12d + 2 (-45 + 72d) + 13 = 12d + 2 Reorder the terms: -45 + 13 + 72d = 12d + 2 Combine like terms: -45 + 13 = -32 -32 + 72d = 12d + 2 Reorder the terms: -32 + 72d = 2 + 12d Solving -32 + 72d = 2 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. -32 + 72d + -12d = 2 + 12d + -12d Combine like terms: 72d + -12d = 60d -32 + 60d = 2 + 12d + -12d Combine like terms: 12d + -12d = 0 -32 + 60d = 2 + 0 -32 + 60d = 2 Add '32' to each side of the equation. -32 + 32 + 60d = 2 + 32 Combine like terms: -32 + 32 = 0 0 + 60d = 2 + 32 60d = 2 + 32 Combine like terms: 2 + 32 = 34 60d = 34 Divide each side by '60'. d = 0.5666666667 Simplifying d = 0.5666666667
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