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Simplifying -2(3c + d) + -3(5d + -1c) = 0 (3c * -2 + d * -2) + -3(5d + -1c) = 0 (-6c + -2d) + -3(5d + -1c) = 0 Reorder the terms: -6c + -2d + -3(-1c + 5d) = 0 -6c + -2d + (-1c * -3 + 5d * -3) = 0 -6c + -2d + (3c + -15d) = 0 Reorder the terms: -6c + 3c + -2d + -15d = 0 Combine like terms: -6c + 3c = -3c -3c + -2d + -15d = 0 Combine like terms: -2d + -15d = -17d -3c + -17d = 0 Solving -3c + -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. -3c + -17d + 17d = 0 + 17d Combine like terms: -17d + 17d = 0 -3c + 0 = 0 + 17d -3c = 0 + 17d Remove the zero: -3c = 17d Divide each side by '-3'. c = -5.666666667d Simplifying c = -5.666666667d
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