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Simplifying 7c + 4d + -7(8c + -2d) = 0 7c + 4d + (8c * -7 + -2d * -7) = 0 7c + 4d + (-56c + 14d) = 0 Reorder the terms: 7c + -56c + 4d + 14d = 0 Combine like terms: 7c + -56c = -49c -49c + 4d + 14d = 0 Combine like terms: 4d + 14d = 18d -49c + 18d = 0 Solving -49c + 18d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18d' to each side of the equation. -49c + 18d + -18d = 0 + -18d Combine like terms: 18d + -18d = 0 -49c + 0 = 0 + -18d -49c = 0 + -18d Remove the zero: -49c = -18d Divide each side by '-49'. c = 0.3673469388d Simplifying c = 0.3673469388d
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