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Simplifying 9(8d + -5) + 13 = 12 + -2 Reorder the terms: 9(-5 + 8d) + 13 = 12 + -2 (-5 * 9 + 8d * 9) + 13 = 12 + -2 (-45 + 72d) + 13 = 12 + -2 Reorder the terms: -45 + 13 + 72d = 12 + -2 Combine like terms: -45 + 13 = -32 -32 + 72d = 12 + -2 Combine like terms: 12 + -2 = 10 -32 + 72d = 10 Solving -32 + 72d = 10 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 72d = 10 + 32 Combine like terms: -32 + 32 = 0 0 + 72d = 10 + 32 72d = 10 + 32 Combine like terms: 10 + 32 = 42 72d = 42 Divide each side by '72'. d = 0.5833333333 Simplifying d = 0.5833333333
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