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Simplifying 8c + 7d + -7(7c + -3d) = 0 8c + 7d + (7c * -7 + -3d * -7) = 0 8c + 7d + (-49c + 21d) = 0 Reorder the terms: 8c + -49c + 7d + 21d = 0 Combine like terms: 8c + -49c = -41c -41c + 7d + 21d = 0 Combine like terms: 7d + 21d = 28d -41c + 28d = 0 Solving -41c + 28d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-28d' to each side of the equation. -41c + 28d + -28d = 0 + -28d Combine like terms: 28d + -28d = 0 -41c + 0 = 0 + -28d -41c = 0 + -28d Remove the zero: -41c = -28d Divide each side by '-41'. c = 0.6829268293d Simplifying c = 0.6829268293d
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