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Simplifying 8d + -1(7d + -2) = 17 Reorder the terms: 8d + -1(-2 + 7d) = 17 8d + (-2 * -1 + 7d * -1) = 17 8d + (2 + -7d) = 17 Reorder the terms: 2 + 8d + -7d = 17 Combine like terms: 8d + -7d = 1d 2 + 1d = 17 Solving 2 + 1d = 17 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1d = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 1d = 17 + -2 1d = 17 + -2 Combine like terms: 17 + -2 = 15 1d = 15 Divide each side by '1'. d = 15 Simplifying d = 15
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