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Simplifying 2x + 4d + 6x + -5c + 4f = 0 Reorder the terms: -5c + 4d + 4f + 2x + 6x = 0 Combine like terms: 2x + 6x = 8x -5c + 4d + 4f + 8x = 0 Solving -5c + 4d + 4f + 8x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4d' to each side of the equation. -5c + 4d + 4f + -4d + 8x = 0 + -4d Reorder the terms: -5c + 4d + -4d + 4f + 8x = 0 + -4d Combine like terms: 4d + -4d = 0 -5c + 0 + 4f + 8x = 0 + -4d -5c + 4f + 8x = 0 + -4d Remove the zero: -5c + 4f + 8x = -4d Add '-4f' to each side of the equation. -5c + 4f + -4f + 8x = -4d + -4f Combine like terms: 4f + -4f = 0 -5c + 0 + 8x = -4d + -4f -5c + 8x = -4d + -4f Add '-8x' to each side of the equation. -5c + 8x + -8x = -4d + -4f + -8x Combine like terms: 8x + -8x = 0 -5c + 0 = -4d + -4f + -8x -5c = -4d + -4f + -8x Divide each side by '-5'. c = 0.8d + 0.8f + 1.6x Simplifying c = 0.8d + 0.8f + 1.6x
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