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Simplifying 5d + 8 + -4d = 48 + -5d Reorder the terms: 8 + 5d + -4d = 48 + -5d Combine like terms: 5d + -4d = 1d 8 + 1d = 48 + -5d Solving 8 + 1d = 48 + -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. 8 + 1d + 5d = 48 + -5d + 5d Combine like terms: 1d + 5d = 6d 8 + 6d = 48 + -5d + 5d Combine like terms: -5d + 5d = 0 8 + 6d = 48 + 0 8 + 6d = 48 Add '-8' to each side of the equation. 8 + -8 + 6d = 48 + -8 Combine like terms: 8 + -8 = 0 0 + 6d = 48 + -8 6d = 48 + -8 Combine like terms: 48 + -8 = 40 6d = 40 Divide each side by '6'. d = 6.666666667 Simplifying d = 6.666666667
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