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Simplifying -11d + 3(2d + -3c + 8) = 0 Reorder the terms: -11d + 3(8 + -3c + 2d) = 0 -11d + (8 * 3 + -3c * 3 + 2d * 3) = 0 -11d + (24 + -9c + 6d) = 0 Reorder the terms: 24 + -9c + -11d + 6d = 0 Combine like terms: -11d + 6d = -5d 24 + -9c + -5d = 0 Solving 24 + -9c + -5d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -9c + -24 + -5d = 0 + -24 Reorder the terms: 24 + -24 + -9c + -5d = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -9c + -5d = 0 + -24 -9c + -5d = 0 + -24 Combine like terms: 0 + -24 = -24 -9c + -5d = -24 Add '5d' to each side of the equation. -9c + -5d + 5d = -24 + 5d Combine like terms: -5d + 5d = 0 -9c + 0 = -24 + 5d -9c = -24 + 5d Divide each side by '-9'. c = 2.666666667 + -0.5555555556d Simplifying c = 2.666666667 + -0.5555555556d
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