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Simplifying 3(d + 11) = 6(d + 33) Reorder the terms: 3(11 + d) = 6(d + 33) (11 * 3 + d * 3) = 6(d + 33) (33 + 3d) = 6(d + 33) Reorder the terms: 33 + 3d = 6(33 + d) 33 + 3d = (33 * 6 + d * 6) 33 + 3d = (198 + 6d) Solving 33 + 3d = 198 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 33 + 3d + -6d = 198 + 6d + -6d Combine like terms: 3d + -6d = -3d 33 + -3d = 198 + 6d + -6d Combine like terms: 6d + -6d = 0 33 + -3d = 198 + 0 33 + -3d = 198 Add '-33' to each side of the equation. 33 + -33 + -3d = 198 + -33 Combine like terms: 33 + -33 = 0 0 + -3d = 198 + -33 -3d = 198 + -33 Combine like terms: 198 + -33 = 165 -3d = 165 Divide each side by '-3'. d = -55 Simplifying d = -55
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