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Simplifying 7c + -4d + -2(4c + -3d) = 0 7c + -4d + (4c * -2 + -3d * -2) = 0 7c + -4d + (-8c + 6d) = 0 Reorder the terms: 7c + -8c + -4d + 6d = 0 Combine like terms: 7c + -8c = -1c -1c + -4d + 6d = 0 Combine like terms: -4d + 6d = 2d -1c + 2d = 0 Solving -1c + 2d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2d' to each side of the equation. -1c + 2d + -2d = 0 + -2d Combine like terms: 2d + -2d = 0 -1c + 0 = 0 + -2d -1c = 0 + -2d Remove the zero: -1c = -2d Divide each side by '-1'. c = 2d Simplifying c = 2d
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