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Simplifying 6d + 3 + 3(4d + -1) = -2(-4d + 15) Reorder the terms: 6d + 3 + 3(-1 + 4d) = -2(-4d + 15) 6d + 3 + (-1 * 3 + 4d * 3) = -2(-4d + 15) 6d + 3 + (-3 + 12d) = -2(-4d + 15) Reorder the terms: 3 + -3 + 6d + 12d = -2(-4d + 15) Combine like terms: 3 + -3 = 0 0 + 6d + 12d = -2(-4d + 15) 6d + 12d = -2(-4d + 15) Combine like terms: 6d + 12d = 18d 18d = -2(-4d + 15) Reorder the terms: 18d = -2(15 + -4d) 18d = (15 * -2 + -4d * -2) 18d = (-30 + 8d) Solving 18d = -30 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 18d + -8d = -30 + 8d + -8d Combine like terms: 18d + -8d = 10d 10d = -30 + 8d + -8d Combine like terms: 8d + -8d = 0 10d = -30 + 0 10d = -30 Divide each side by '10'. d = -3 Simplifying d = -3
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