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Simplifying 7c + 5(c + -1d) + -1d = 0 7c + (c * 5 + -1d * 5) + -1d = 0 7c + (5c + -5d) + -1d = 0 Combine like terms: 7c + 5c = 12c 12c + -5d + -1d = 0 Combine like terms: -5d + -1d = -6d 12c + -6d = 0 Solving 12c + -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. 12c + -6d + 6d = 0 + 6d Combine like terms: -6d + 6d = 0 12c + 0 = 0 + 6d 12c = 0 + 6d Remove the zero: 12c = 6d Divide each side by '12'. c = 0.5d Simplifying c = 0.5d
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