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Simplifying (12c + 35) + (-5c + 11) = -3 Reorder the terms: (35 + 12c) + (-5c + 11) = -3 Remove parenthesis around (35 + 12c) 35 + 12c + (-5c + 11) = -3 Reorder the terms: 35 + 12c + (11 + -5c) = -3 Remove parenthesis around (11 + -5c) 35 + 12c + 11 + -5c = -3 Reorder the terms: 35 + 11 + 12c + -5c = -3 Combine like terms: 35 + 11 = 46 46 + 12c + -5c = -3 Combine like terms: 12c + -5c = 7c 46 + 7c = -3 Solving 46 + 7c = -3 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 7c = -3 + -46 Combine like terms: 46 + -46 = 0 0 + 7c = -3 + -46 7c = -3 + -46 Combine like terms: -3 + -46 = -49 7c = -49 Divide each side by '7'. c = -7 Simplifying c = -7
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