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Simplifying 51c + 8d + -7d + -50c = 8 Reorder the terms: 51c + -50c + 8d + -7d = 8 Combine like terms: 51c + -50c = 1c 1c + 8d + -7d = 8 Combine like terms: 8d + -7d = 1d 1c + 1d = 8 Solving 1c + 1d = 8 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1d' to each side of the equation. 1c + 1d + -1d = 8 + -1d Combine like terms: 1d + -1d = 0 1c + 0 = 8 + -1d 1c = 8 + -1d Divide each side by '1'. c = 8 + -1d Simplifying c = 8 + -1d
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