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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 = 6d 9 + 6d = 51 + -5d + 5d Combine like terms: -5d + 5d = 0 9 + 6d = 51 + 0 9 + 6d = 51 Add '-9' to each side of the equation. 9 + -9 + 6d = 51 + -9 Combine like terms: 9 + -9 = 0 0 + 6d = 51 + -9 6d = 51 + -9 Combine like terms: 51 + -9 = 42 6d = 42 Divide each side by '6'. d = 7 Simplifying d = 7
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