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Simplifying 5c + 3(c + -1d) + -1d = 0 5c + (c * 3 + -1d * 3) + -1d = 0 5c + (3c + -3d) + -1d = 0 Combine like terms: 5c + 3c = 8c 8c + -3d + -1d = 0 Combine like terms: -3d + -1d = -4d 8c + -4d = 0 Solving 8c + -4d = 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. 8c + -4d + 4d = 0 + 4d Combine like terms: -4d + 4d = 0 8c + 0 = 0 + 4d 8c = 0 + 4d Remove the zero: 8c = 4d Divide each side by '8'. c = 0.5d Simplifying c = 0.5d
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