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Simplifying (17d + -3c) + -2(5d + 4c) = 0 Reorder the terms: (-3c + 17d) + -2(5d + 4c) = 0 Remove parenthesis around (-3c + 17d) -3c + 17d + -2(5d + 4c) = 0 Reorder the terms: -3c + 17d + -2(4c + 5d) = 0 -3c + 17d + (4c * -2 + 5d * -2) = 0 -3c + 17d + (-8c + -10d) = 0 Reorder the terms: -3c + -8c + 17d + -10d = 0 Combine like terms: -3c + -8c = -11c -11c + 17d + -10d = 0 Combine like terms: 17d + -10d = 7d -11c + 7d = 0 Solving -11c + 7d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7d' to each side of the equation. -11c + 7d + -7d = 0 + -7d Combine like terms: 7d + -7d = 0 -11c + 0 = 0 + -7d -11c = 0 + -7d Remove the zero: -11c = -7d Divide each side by '-11'. c = 0.6363636364d Simplifying c = 0.6363636364d
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