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Simplifying 3c + 4d + 5c + 8 = 0 Reorder the terms: 8 + 3c + 5c + 4d = 0 Combine like terms: 3c + 5c = 8c 8 + 8c + 4d = 0 Solving 8 + 8c + 4d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 8c + -8 + 4d = 0 + -8 Reorder the terms: 8 + -8 + 8c + 4d = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 8c + 4d = 0 + -8 8c + 4d = 0 + -8 Combine like terms: 0 + -8 = -8 8c + 4d = -8 Add '-4d' to each side of the equation. 8c + 4d + -4d = -8 + -4d Combine like terms: 4d + -4d = 0 8c + 0 = -8 + -4d 8c = -8 + -4d Divide each side by '8'. c = -1 + -0.5d Simplifying c = -1 + -0.5d
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