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Simplifying 9(8d + -5) + 14 = 12d + -2 Reorder the terms: 9(-5 + 8d) + 14 = 12d + -2 (-5 * 9 + 8d * 9) + 14 = 12d + -2 (-45 + 72d) + 14 = 12d + -2 Reorder the terms: -45 + 14 + 72d = 12d + -2 Combine like terms: -45 + 14 = -31 -31 + 72d = 12d + -2 Reorder the terms: -31 + 72d = -2 + 12d Solving -31 + 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. -31 + 72d + -12d = -2 + 12d + -12d Combine like terms: 72d + -12d = 60d -31 + 60d = -2 + 12d + -12d Combine like terms: 12d + -12d = 0 -31 + 60d = -2 + 0 -31 + 60d = -2 Add '31' to each side of the equation. -31 + 31 + 60d = -2 + 31 Combine like terms: -31 + 31 = 0 0 + 60d = -2 + 31 60d = -2 + 31 Combine like terms: -2 + 31 = 29 60d = 29 Divide each side by '60'. d = 0.4833333333 Simplifying d = 0.4833333333
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