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Simplifying 5d + 10 + 2d = -10 + 9d Reorder the terms: 10 + 5d + 2d = -10 + 9d Combine like terms: 5d + 2d = 7d 10 + 7d = -10 + 9d Solving 10 + 7d = -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. 10 + 7d + -9d = -10 + 9d + -9d Combine like terms: 7d + -9d = -2d 10 + -2d = -10 + 9d + -9d Combine like terms: 9d + -9d = 0 10 + -2d = -10 + 0 10 + -2d = -10 Add '-10' to each side of the equation. 10 + -10 + -2d = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -2d = -10 + -10 -2d = -10 + -10 Combine like terms: -10 + -10 = -20 -2d = -20 Divide each side by '-2'. d = 10 Simplifying d = 10
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