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Simplifying 7d + -10 = 5d + 8 Reorder the terms: -10 + 7d = 5d + 8 Reorder the terms: -10 + 7d = 8 + 5d Solving -10 + 7d = 8 + 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. -10 + 7d + -5d = 8 + 5d + -5d Combine like terms: 7d + -5d = 2d -10 + 2d = 8 + 5d + -5d Combine like terms: 5d + -5d = 0 -10 + 2d = 8 + 0 -10 + 2d = 8 Add '10' to each side of the equation. -10 + 10 + 2d = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 2d = 8 + 10 2d = 8 + 10 Combine like terms: 8 + 10 = 18 2d = 18 Divide each side by '2'. d = 9 Simplifying d = 9
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