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Simplifying 3r + -3(2 + -2d) = -33 3r + (2 * -3 + -2d * -3) = -33 3r + (-6 + 6d) = -33 Reorder the terms: -6 + 6d + 3r = -33 Solving -6 + 6d + 3r = -33 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6d + 6 + 3r = -33 + 6 Reorder the terms: -6 + 6 + 6d + 3r = -33 + 6 Combine like terms: -6 + 6 = 0 0 + 6d + 3r = -33 + 6 6d + 3r = -33 + 6 Combine like terms: -33 + 6 = -27 6d + 3r = -27 Add '-3r' to each side of the equation. 6d + 3r + -3r = -27 + -3r Combine like terms: 3r + -3r = 0 6d + 0 = -27 + -3r 6d = -27 + -3r Divide each side by '6'. d = -4.5 + -0.5r Simplifying d = -4.5 + -0.5r
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