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Simplifying 3d + -5t + 10 + t + 7d + -6 = 0 Reorder the terms: 10 + -6 + 3d + 7d + -5t + t = 0 Combine like terms: 10 + -6 = 4 4 + 3d + 7d + -5t + t = 0 Combine like terms: 3d + 7d = 10d 4 + 10d + -5t + t = 0 Combine like terms: -5t + t = -4t 4 + 10d + -4t = 0 Solving 4 + 10d + -4t = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 10d + -4 + -4t = 0 + -4 Reorder the terms: 4 + -4 + 10d + -4t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 10d + -4t = 0 + -4 10d + -4t = 0 + -4 Combine like terms: 0 + -4 = -4 10d + -4t = -4 Add '4t' to each side of the equation. 10d + -4t + 4t = -4 + 4t Combine like terms: -4t + 4t = 0 10d + 0 = -4 + 4t 10d = -4 + 4t Divide each side by '10'. d = -0.4 + 0.4t Simplifying d = -0.4 + 0.4t
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