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Simplifying 2(6d + 3) = 18 + -48 + 9d Reorder the terms: 2(3 + 6d) = 18 + -48 + 9d (3 * 2 + 6d * 2) = 18 + -48 + 9d (6 + 12d) = 18 + -48 + 9d Combine like terms: 18 + -48 = -30 6 + 12d = -30 + 9d Solving 6 + 12d = -30 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. 6 + 12d + -9d = -30 + 9d + -9d Combine like terms: 12d + -9d = 3d 6 + 3d = -30 + 9d + -9d Combine like terms: 9d + -9d = 0 6 + 3d = -30 + 0 6 + 3d = -30 Add '-6' to each side of the equation. 6 + -6 + 3d = -30 + -6 Combine like terms: 6 + -6 = 0 0 + 3d = -30 + -6 3d = -30 + -6 Combine like terms: -30 + -6 = -36 3d = -36 Divide each side by '3'. d = -12 Simplifying d = -12
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