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Simplifying 4(2d + 1) + -5(d + -2) = 17 Reorder the terms: 4(1 + 2d) + -5(d + -2) = 17 (1 * 4 + 2d * 4) + -5(d + -2) = 17 (4 + 8d) + -5(d + -2) = 17 Reorder the terms: 4 + 8d + -5(-2 + d) = 17 4 + 8d + (-2 * -5 + d * -5) = 17 4 + 8d + (10 + -5d) = 17 Reorder the terms: 4 + 10 + 8d + -5d = 17 Combine like terms: 4 + 10 = 14 14 + 8d + -5d = 17 Combine like terms: 8d + -5d = 3d 14 + 3d = 17 Solving 14 + 3d = 17 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3d = 17 + -14 Combine like terms: 14 + -14 = 0 0 + 3d = 17 + -14 3d = 17 + -14 Combine like terms: 17 + -14 = 3 3d = 3 Divide each side by '3'. d = 1 Simplifying d = 1
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