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Simplifying -1d + 12 + -3d = 5d + -6 Reorder the terms: 12 + -1d + -3d = 5d + -6 Combine like terms: -1d + -3d = -4d 12 + -4d = 5d + -6 Reorder the terms: 12 + -4d = -6 + 5d Solving 12 + -4d = -6 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 12 + -4d + -5d = -6 + 5d + -5d Combine like terms: -4d + -5d = -9d 12 + -9d = -6 + 5d + -5d Combine like terms: 5d + -5d = 0 12 + -9d = -6 + 0 12 + -9d = -6 Add '-12' to each side of the equation. 12 + -12 + -9d = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -9d = -6 + -12 -9d = -6 + -12 Combine like terms: -6 + -12 = -18 -9d = -18 Divide each side by '-9'. d = 2 Simplifying d = 2
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