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Simplifying 6(3c + -5d + 6) = 0 Reorder the terms: 6(6 + 3c + -5d) = 0 (6 * 6 + 3c * 6 + -5d * 6) = 0 (36 + 18c + -30d) = 0 Solving 36 + 18c + -30d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + 18c + -36 + -30d = 0 + -36 Reorder the terms: 36 + -36 + 18c + -30d = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 18c + -30d = 0 + -36 18c + -30d = 0 + -36 Combine like terms: 0 + -36 = -36 18c + -30d = -36 Add '30d' to each side of the equation. 18c + -30d + 30d = -36 + 30d Combine like terms: -30d + 30d = 0 18c + 0 = -36 + 30d 18c = -36 + 30d Divide each side by '18'. c = -2 + 1.666666667d Simplifying c = -2 + 1.666666667d
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