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Simplifying 5(d + 1) + -4d = 51 + -5d Reorder the terms: 5(1 + d) + -4d = 51 + -5d (1 * 5 + d * 5) + -4d = 51 + -5d (5 + 5d) + -4d = 51 + -5d Combine like terms: 5d + -4d = 1d 5 + 1d = 51 + -5d Solving 5 + 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. 5 + 1d + 5d = 51 + -5d + 5d Combine like terms: 1d + 5d = 6d 5 + 6d = 51 + -5d + 5d Combine like terms: -5d + 5d = 0 5 + 6d = 51 + 0 5 + 6d = 51 Add '-5' to each side of the equation. 5 + -5 + 6d = 51 + -5 Combine like terms: 5 + -5 = 0 0 + 6d = 51 + -5 6d = 51 + -5 Combine like terms: 51 + -5 = 46 6d = 46 Divide each side by '6'. d = 7.666666667 Simplifying d = 7.666666667
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