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Simplifying 7c + 5d + -7(5c + -2d) = 0 7c + 5d + (5c * -7 + -2d * -7) = 0 7c + 5d + (-35c + 14d) = 0 Reorder the terms: 7c + -35c + 5d + 14d = 0 Combine like terms: 7c + -35c = -28c -28c + 5d + 14d = 0 Combine like terms: 5d + 14d = 19d -28c + 19d = 0 Solving -28c + 19d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-19d' to each side of the equation. -28c + 19d + -19d = 0 + -19d Combine like terms: 19d + -19d = 0 -28c + 0 = 0 + -19d -28c = 0 + -19d Remove the zero: -28c = -19d Divide each side by '-28'. c = 0.6785714286d Simplifying c = 0.6785714286d
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