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Simplifying (c + 4d) + (-2c + 5d) = 0 Remove parenthesis around (c + 4d) c + 4d + (-2c + 5d) = 0 Remove parenthesis around (-2c + 5d) c + 4d + -2c + 5d = 0 Reorder the terms: c + -2c + 4d + 5d = 0 Combine like terms: c + -2c = -1c -1c + 4d + 5d = 0 Combine like terms: 4d + 5d = 9d -1c + 9d = 0 Solving -1c + 9d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9d' to each side of the equation. -1c + 9d + -9d = 0 + -9d Combine like terms: 9d + -9d = 0 -1c + 0 = 0 + -9d -1c = 0 + -9d Remove the zero: -1c = -9d Divide each side by '-1'. c = 9d Simplifying c = 9d
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