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Simplifying -10 + 9d + 2 = -9d + 10 Reorder the terms: -10 + 2 + 9d = -9d + 10 Combine like terms: -10 + 2 = -8 -8 + 9d = -9d + 10 Reorder the terms: -8 + 9d = 10 + -9d Solving -8 + 9d = 10 + -9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '9d' to each side of the equation. -8 + 9d + 9d = 10 + -9d + 9d Combine like terms: 9d + 9d = 18d -8 + 18d = 10 + -9d + 9d Combine like terms: -9d + 9d = 0 -8 + 18d = 10 + 0 -8 + 18d = 10 Add '8' to each side of the equation. -8 + 8 + 18d = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 18d = 10 + 8 18d = 10 + 8 Combine like terms: 10 + 8 = 18 18d = 18 Divide each side by '18'. d = 1 Simplifying d = 1
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