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Simplifying 3(4d + -10) = 18 + -48 + 9d Reorder the terms: 3(-10 + 4d) = 18 + -48 + 9d (-10 * 3 + 4d * 3) = 18 + -48 + 9d (-30 + 12d) = 18 + -48 + 9d Combine like terms: 18 + -48 = -30 -30 + 12d = -30 + 9d Add '30' to each side of the equation. -30 + 30 + 12d = -30 + 30 + 9d Combine like terms: -30 + 30 = 0 0 + 12d = -30 + 30 + 9d 12d = -30 + 30 + 9d Combine like terms: -30 + 30 = 0 12d = 0 + 9d 12d = 9d Solving 12d = 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. 12d + -9d = 9d + -9d Combine like terms: 12d + -9d = 3d 3d = 9d + -9d Combine like terms: 9d + -9d = 0 3d = 0 Divide each side by '3'. d = 0 Simplifying d = 0
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