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Simplifying 35 + 7c = 6c + -21 Reorder the terms: 35 + 7c = -21 + 6c Solving 35 + 7c = -21 + 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 + 7c + -6c = -21 + 6c + -6c Combine like terms: 7c + -6c = 1c 35 + 1c = -21 + 6c + -6c Combine like terms: 6c + -6c = 0 35 + 1c = -21 + 0 35 + 1c = -21 Add '-35' to each side of the equation. 35 + -35 + 1c = -21 + -35 Combine like terms: 35 + -35 = 0 0 + 1c = -21 + -35 1c = -21 + -35 Combine like terms: -21 + -35 = -56 1c = -56 Divide each side by '1'. c = -56 Simplifying c = -56
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