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Simplifying (5c + -1d) + (2c + 5d) = 0 Remove parenthesis around (5c + -1d) 5c + -1d + (2c + 5d) = 0 Remove parenthesis around (2c + 5d) 5c + -1d + 2c + 5d = 0 Reorder the terms: 5c + 2c + -1d + 5d = 0 Combine like terms: 5c + 2c = 7c 7c + -1d + 5d = 0 Combine like terms: -1d + 5d = 4d 7c + 4d = 0 Solving 7c + 4d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4d' to each side of the equation. 7c + 4d + -4d = 0 + -4d Combine like terms: 4d + -4d = 0 7c + 0 = 0 + -4d 7c = 0 + -4d Remove the zero: 7c = -4d Divide each side by '7'. c = -0.5714285714d Simplifying c = -0.5714285714d
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