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Simplifying -1d + 12 + -3r = 5d + -6 Reorder the terms: 12 + -1d + -3r = 5d + -6 Reorder the terms: 12 + -1d + -3r = -6 + 5d Solving 12 + -1d + -3r = -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 + -1d + -5d + -3r = -6 + 5d + -5d Combine like terms: -1d + -5d = -6d 12 + -6d + -3r = -6 + 5d + -5d Combine like terms: 5d + -5d = 0 12 + -6d + -3r = -6 + 0 12 + -6d + -3r = -6 Add '-12' to each side of the equation. 12 + -6d + -12 + -3r = -6 + -12 Reorder the terms: 12 + -12 + -6d + -3r = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -6d + -3r = -6 + -12 -6d + -3r = -6 + -12 Combine like terms: -6 + -12 = -18 -6d + -3r = -18 Add '3r' to each side of the equation. -6d + -3r + 3r = -18 + 3r Combine like terms: -3r + 3r = 0 -6d + 0 = -18 + 3r -6d = -18 + 3r Divide each side by '-6'. d = 3 + -0.5r Simplifying d = 3 + -0.5r
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