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Simplifying 2c + 4c + -35 = c + 50 Reorder the terms: -35 + 2c + 4c = c + 50 Combine like terms: 2c + 4c = 6c -35 + 6c = c + 50 Reorder the terms: -35 + 6c = 50 + c Solving -35 + 6c = 50 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. -35 + 6c + -1c = 50 + c + -1c Combine like terms: 6c + -1c = 5c -35 + 5c = 50 + c + -1c Combine like terms: c + -1c = 0 -35 + 5c = 50 + 0 -35 + 5c = 50 Add '35' to each side of the equation. -35 + 35 + 5c = 50 + 35 Combine like terms: -35 + 35 = 0 0 + 5c = 50 + 35 5c = 50 + 35 Combine like terms: 50 + 35 = 85 5c = 85 Divide each side by '5'. c = 17 Simplifying c = 17
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