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Simplifying 4c + 6d + -8(4c + -2d) = 0 4c + 6d + (4c * -8 + -2d * -8) = 0 4c + 6d + (-32c + 16d) = 0 Reorder the terms: 4c + -32c + 6d + 16d = 0 Combine like terms: 4c + -32c = -28c -28c + 6d + 16d = 0 Combine like terms: 6d + 16d = 22d -28c + 22d = 0 Solving -28c + 22d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-22d' to each side of the equation. -28c + 22d + -22d = 0 + -22d Combine like terms: 22d + -22d = 0 -28c + 0 = 0 + -22d -28c = 0 + -22d Remove the zero: -28c = -22d Divide each side by '-28'. c = 0.7857142857d Simplifying c = 0.7857142857d
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