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Simplifying 9(8d + -5) + 3 = 12d + -2 Reorder the terms: 9(-5 + 8d) + 3 = 12d + -2 (-5 * 9 + 8d * 9) + 3 = 12d + -2 (-45 + 72d) + 3 = 12d + -2 Reorder the terms: -45 + 3 + 72d = 12d + -2 Combine like terms: -45 + 3 = -42 -42 + 72d = 12d + -2 Reorder the terms: -42 + 72d = -2 + 12d Solving -42 + 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. -42 + 72d + -12d = -2 + 12d + -12d Combine like terms: 72d + -12d = 60d -42 + 60d = -2 + 12d + -12d Combine like terms: 12d + -12d = 0 -42 + 60d = -2 + 0 -42 + 60d = -2 Add '42' to each side of the equation. -42 + 42 + 60d = -2 + 42 Combine like terms: -42 + 42 = 0 0 + 60d = -2 + 42 60d = -2 + 42 Combine like terms: -2 + 42 = 40 60d = 40 Divide each side by '60'. d = 0.6666666667 Simplifying d = 0.6666666667
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