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Simplifying -1(c + d) + -4d + 5c + -1d = 0 (c * -1 + d * -1) + -4d + 5c + -1d = 0 (-1c + -1d) + -4d + 5c + -1d = 0 Reorder the terms: -1c + 5c + -1d + -4d + -1d = 0 Combine like terms: -1c + 5c = 4c 4c + -1d + -4d + -1d = 0 Combine like terms: -1d + -4d = -5d 4c + -5d + -1d = 0 Combine like terms: -5d + -1d = -6d 4c + -6d = 0 Solving 4c + -6d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6d' to each side of the equation. 4c + -6d + 6d = 0 + 6d Combine like terms: -6d + 6d = 0 4c + 0 = 0 + 6d 4c = 0 + 6d Remove the zero: 4c = 6d Divide each side by '4'. c = 1.5d Simplifying c = 1.5d
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