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Simplifying 2c + 2d + -5(5c + -3d) = 0 2c + 2d + (5c * -5 + -3d * -5) = 0 2c + 2d + (-25c + 15d) = 0 Reorder the terms: 2c + -25c + 2d + 15d = 0 Combine like terms: 2c + -25c = -23c -23c + 2d + 15d = 0 Combine like terms: 2d + 15d = 17d -23c + 17d = 0 Solving -23c + 17d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-17d' to each side of the equation. -23c + 17d + -17d = 0 + -17d Combine like terms: 17d + -17d = 0 -23c + 0 = 0 + -17d -23c = 0 + -17d Remove the zero: -23c = -17d Divide each side by '-23'. c = 0.7391304348d Simplifying c = 0.7391304348d
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