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Simplifying 5r + 6d + -2r + 9 + -2d + 3 = 0 Reorder the terms: 9 + 3 + 6d + -2d + 5r + -2r = 0 Combine like terms: 9 + 3 = 12 12 + 6d + -2d + 5r + -2r = 0 Combine like terms: 6d + -2d = 4d 12 + 4d + 5r + -2r = 0 Combine like terms: 5r + -2r = 3r 12 + 4d + 3r = 0 Solving 12 + 4d + 3r = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 4d + -12 + 3r = 0 + -12 Reorder the terms: 12 + -12 + 4d + 3r = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4d + 3r = 0 + -12 4d + 3r = 0 + -12 Combine like terms: 0 + -12 = -12 4d + 3r = -12 Add '-3r' to each side of the equation. 4d + 3r + -3r = -12 + -3r Combine like terms: 3r + -3r = 0 4d + 0 = -12 + -3r 4d = -12 + -3r Divide each side by '4'. d = -3 + -0.75r Simplifying d = -3 + -0.75r
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