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Simplifying 35 + 5c = 6c + 10 Reorder the terms: 35 + 5c = 10 + 6c Solving 35 + 5c = 10 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 35 + 5c + -6c = 10 + 6c + -6c Combine like terms: 5c + -6c = -1c 35 + -1c = 10 + 6c + -6c Combine like terms: 6c + -6c = 0 35 + -1c = 10 + 0 35 + -1c = 10 Add '-35' to each side of the equation. 35 + -35 + -1c = 10 + -35 Combine like terms: 35 + -35 = 0 0 + -1c = 10 + -35 -1c = 10 + -35 Combine like terms: 10 + -35 = -25 -1c = -25 Divide each side by '-1'. c = 25 Simplifying c = 25
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