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Simplifying 8d + -9 = 7 + 10 + -5d Reorder the terms: -9 + 8d = 7 + 10 + -5d Combine like terms: 7 + 10 = 17 -9 + 8d = 17 + -5d Solving -9 + 8d = 17 + -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 + 8d + 5d = 17 + -5d + 5d Combine like terms: 8d + 5d = 13d -9 + 13d = 17 + -5d + 5d Combine like terms: -5d + 5d = 0 -9 + 13d = 17 + 0 -9 + 13d = 17 Add '9' to each side of the equation. -9 + 9 + 13d = 17 + 9 Combine like terms: -9 + 9 = 0 0 + 13d = 17 + 9 13d = 17 + 9 Combine like terms: 17 + 9 = 26 13d = 26 Divide each side by '13'. d = 2 Simplifying d = 2
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