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Simplifying 5c + 5d + -6(6c + 6d) = 0 5c + 5d + (6c * -6 + 6d * -6) = 0 5c + 5d + (-36c + -36d) = 0 Reorder the terms: 5c + -36c + 5d + -36d = 0 Combine like terms: 5c + -36c = -31c -31c + 5d + -36d = 0 Combine like terms: 5d + -36d = -31d -31c + -31d = 0 Solving -31c + -31d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '31d' to each side of the equation. -31c + -31d + 31d = 0 + 31d Combine like terms: -31d + 31d = 0 -31c + 0 = 0 + 31d -31c = 0 + 31d Remove the zero: -31c = 31d Divide each side by '-31'. c = -1d Simplifying c = -1d
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