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Simplifying 5d + 9 + -49 = 51 + -5d Reorder the terms: 9 + -49 + 5d = 51 + -5d Combine like terms: 9 + -49 = -40 -40 + 5d = 51 + -5d Solving -40 + 5d = 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. -40 + 5d + 5d = 51 + -5d + 5d Combine like terms: 5d + 5d = 10d -40 + 10d = 51 + -5d + 5d Combine like terms: -5d + 5d = 0 -40 + 10d = 51 + 0 -40 + 10d = 51 Add '40' to each side of the equation. -40 + 40 + 10d = 51 + 40 Combine like terms: -40 + 40 = 0 0 + 10d = 51 + 40 10d = 51 + 40 Combine like terms: 51 + 40 = 91 10d = 91 Divide each side by '10'. d = 9.1 Simplifying d = 9.1
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