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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 = 1d 12 + 1d = -6 + -5d + 5d Combine like terms: -5d + 5d = 0 12 + 1d = -6 + 0 12 + 1d = -6 Add '-12' to each side of the equation. 12 + -12 + 1d = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 1d = -6 + -12 1d = -6 + -12 Combine like terms: -6 + -12 = -18 1d = -18 Divide each side by '1'. d = -18 Simplifying d = -18
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