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Simplifying 5d + 9 + -4d = 51 + 5d Reorder the terms: 9 + 5d + -4d = 51 + 5d Combine like terms: 5d + -4d = 1d 9 + 1d = 51 + 5d Solving 9 + 1d = 51 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 9 + 1d + -5d = 51 + 5d + -5d Combine like terms: 1d + -5d = -4d 9 + -4d = 51 + 5d + -5d Combine like terms: 5d + -5d = 0 9 + -4d = 51 + 0 9 + -4d = 51 Add '-9' to each side of the equation. 9 + -9 + -4d = 51 + -9 Combine like terms: 9 + -9 = 0 0 + -4d = 51 + -9 -4d = 51 + -9 Combine like terms: 51 + -9 = 42 -4d = 42 Divide each side by '-4'. d = -10.5 Simplifying d = -10.5
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