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Simplifying 7t + -5d + 3t + 8d = 0 Reorder the terms: -5d + 8d + 7t + 3t = 0 Combine like terms: -5d + 8d = 3d 3d + 7t + 3t = 0 Combine like terms: 7t + 3t = 10t 3d + 10t = 0 Solving 3d + 10t = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10t' to each side of the equation. 3d + 10t + -10t = 0 + -10t Combine like terms: 10t + -10t = 0 3d + 0 = 0 + -10t 3d = 0 + -10t Remove the zero: 3d = -10t Divide each side by '3'. d = -3.333333333t Simplifying d = -3.333333333t
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