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Simplifying 17 + -6 + 2(3d + 2) = 0 Reorder the terms: 17 + -6 + 2(2 + 3d) = 0 17 + -6 + (2 * 2 + 3d * 2) = 0 17 + -6 + (4 + 6d) = 0 Combine like terms: 17 + -6 = 11 11 + 4 + 6d = 0 Combine like terms: 11 + 4 = 15 15 + 6d = 0 Solving 15 + 6d = 0 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 + 6d = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 6d = 0 + -15 6d = 0 + -15 Combine like terms: 0 + -15 = -15 6d = -15 Divide each side by '6'. d = -2.5 Simplifying d = -2.5
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