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Simplifying 7d + -3d + 8z + 2d + 9z = 0 Reorder the terms: 7d + -3d + 2d + 8z + 9z = 0 Combine like terms: 7d + -3d = 4d 4d + 2d + 8z + 9z = 0 Combine like terms: 4d + 2d = 6d 6d + 8z + 9z = 0 Combine like terms: 8z + 9z = 17z 6d + 17z = 0 Solving 6d + 17z = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-17z' to each side of the equation. 6d + 17z + -17z = 0 + -17z Combine like terms: 17z + -17z = 0 6d + 0 = 0 + -17z 6d = 0 + -17z Remove the zero: 6d = -17z Divide each side by '6'. d = -2.833333333z Simplifying d = -2.833333333z
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