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Simplifying 3 + 7s + 6s + -7s + 3d + -1d + -1 = 0 Reorder the terms: 3 + -1 + 3d + -1d + 7s + 6s + -7s = 0 Combine like terms: 3 + -1 = 2 2 + 3d + -1d + 7s + 6s + -7s = 0 Combine like terms: 3d + -1d = 2d 2 + 2d + 7s + 6s + -7s = 0 Combine like terms: 7s + 6s = 13s 2 + 2d + 13s + -7s = 0 Combine like terms: 13s + -7s = 6s 2 + 2d + 6s = 0 Solving 2 + 2d + 6s = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2d + -2 + 6s = 0 + -2 Reorder the terms: 2 + -2 + 2d + 6s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2d + 6s = 0 + -2 2d + 6s = 0 + -2 Combine like terms: 0 + -2 = -2 2d + 6s = -2 Add '-6s' to each side of the equation. 2d + 6s + -6s = -2 + -6s Combine like terms: 6s + -6s = 0 2d + 0 = -2 + -6s 2d = -2 + -6s Divide each side by '2'. d = -1 + -3s Simplifying d = -1 + -3s
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