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Simplifying 4c + 4d + -8(2c + -4d) = 0 4c + 4d + (2c * -8 + -4d * -8) = 0 4c + 4d + (-16c + 32d) = 0 Reorder the terms: 4c + -16c + 4d + 32d = 0 Combine like terms: 4c + -16c = -12c -12c + 4d + 32d = 0 Combine like terms: 4d + 32d = 36d -12c + 36d = 0 Solving -12c + 36d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-36d' to each side of the equation. -12c + 36d + -36d = 0 + -36d Combine like terms: 36d + -36d = 0 -12c + 0 = 0 + -36d -12c = 0 + -36d Remove the zero: -12c = -36d Divide each side by '-12'. c = 3d Simplifying c = 3d
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