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Simplifying (10c + -5d) + -1(3c + -2d) = 0 Remove parenthesis around (10c + -5d) 10c + -5d + -1(3c + -2d) = 0 10c + -5d + (3c * -1 + -2d * -1) = 0 10c + -5d + (-3c + 2d) = 0 Reorder the terms: 10c + -3c + -5d + 2d = 0 Combine like terms: 10c + -3c = 7c 7c + -5d + 2d = 0 Combine like terms: -5d + 2d = -3d 7c + -3d = 0 Solving 7c + -3d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3d' to each side of the equation. 7c + -3d + 3d = 0 + 3d Combine like terms: -3d + 3d = 0 7c + 0 = 0 + 3d 7c = 0 + 3d Remove the zero: 7c = 3d Divide each side by '7'. c = 0.4285714286d Simplifying c = 0.4285714286d
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