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Simplifying 8d + 3(5 + -1d) = 10 8d + (5 * 3 + -1d * 3) = 10 8d + (15 + -3d) = 10 Reorder the terms: 15 + 8d + -3d = 10 Combine like terms: 8d + -3d = 5d 15 + 5d = 10 Solving 15 + 5d = 10 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 5d = 10 + -15 Combine like terms: 15 + -15 = 0 0 + 5d = 10 + -15 5d = 10 + -15 Combine like terms: 10 + -15 = -5 5d = -5 Divide each side by '5'. d = -1 Simplifying d = -1
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