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Simplifying 7c + 4d + -15 + 4c + 7d + -3 = 0 Reorder the terms: -15 + -3 + 7c + 4c + 4d + 7d = 0 Combine like terms: -15 + -3 = -18 -18 + 7c + 4c + 4d + 7d = 0 Combine like terms: 7c + 4c = 11c -18 + 11c + 4d + 7d = 0 Combine like terms: 4d + 7d = 11d -18 + 11c + 11d = 0 Solving -18 + 11c + 11d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 11c + 18 + 11d = 0 + 18 Reorder the terms: -18 + 18 + 11c + 11d = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 11c + 11d = 0 + 18 11c + 11d = 0 + 18 Combine like terms: 0 + 18 = 18 11c + 11d = 18 Add '-11d' to each side of the equation. 11c + 11d + -11d = 18 + -11d Combine like terms: 11d + -11d = 0 11c + 0 = 18 + -11d 11c = 18 + -11d Divide each side by '11'. c = 1.636363636 + -1d Simplifying c = 1.636363636 + -1d
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