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Simplifying 4(7g + -3d + -1c) = 0 Reorder the terms: 4(-1c + -3d + 7g) = 0 (-1c * 4 + -3d * 4 + 7g * 4) = 0 (-4c + -12d + 28g) = 0 Solving -4c + -12d + 28g = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '12d' to each side of the equation. -4c + -12d + 12d + 28g = 0 + 12d Combine like terms: -12d + 12d = 0 -4c + 0 + 28g = 0 + 12d -4c + 28g = 0 + 12d Remove the zero: -4c + 28g = 12d Add '-28g' to each side of the equation. -4c + 28g + -28g = 12d + -28g Combine like terms: 28g + -28g = 0 -4c + 0 = 12d + -28g -4c = 12d + -28g Divide each side by '-4'. c = -3d + 7g Simplifying c = -3d + 7g
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