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Simplifying 10d + -6 = 4s + -15 + -3d Reorder the terms: -6 + 10d = 4s + -15 + -3d Reorder the terms: -6 + 10d = -15 + -3d + 4s Solving -6 + 10d = -15 + -3d + 4s Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3d' to each side of the equation. -6 + 10d + 3d = -15 + -3d + 3d + 4s Combine like terms: 10d + 3d = 13d -6 + 13d = -15 + -3d + 3d + 4s Combine like terms: -3d + 3d = 0 -6 + 13d = -15 + 0 + 4s -6 + 13d = -15 + 4s Add '6' to each side of the equation. -6 + 6 + 13d = -15 + 6 + 4s Combine like terms: -6 + 6 = 0 0 + 13d = -15 + 6 + 4s 13d = -15 + 6 + 4s Combine like terms: -15 + 6 = -9 13d = -9 + 4s Divide each side by '13'. d = -0.6923076923 + 0.3076923077s Simplifying d = -0.6923076923 + 0.3076923077s
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