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Simplifying 6c + -35 = c + 10 Reorder the terms: -35 + 6c = c + 10 Reorder the terms: -35 + 6c = 10 + c Solving -35 + 6c = 10 + 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 = 10 + c + -1c Combine like terms: 6c + -1c = 5c -35 + 5c = 10 + c + -1c Combine like terms: c + -1c = 0 -35 + 5c = 10 + 0 -35 + 5c = 10 Add '35' to each side of the equation. -35 + 35 + 5c = 10 + 35 Combine like terms: -35 + 35 = 0 0 + 5c = 10 + 35 5c = 10 + 35 Combine like terms: 10 + 35 = 45 5c = 45 Divide each side by '5'. c = 9 Simplifying c = 9
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