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Simplifying (12c + 35) + -1(5c + -11) = 0 Reorder the terms: (35 + 12c) + -1(5c + -11) = 0 Remove parenthesis around (35 + 12c) 35 + 12c + -1(5c + -11) = 0 Reorder the terms: 35 + 12c + -1(-11 + 5c) = 0 35 + 12c + (-11 * -1 + 5c * -1) = 0 35 + 12c + (11 + -5c) = 0 Reorder the terms: 35 + 11 + 12c + -5c = 0 Combine like terms: 35 + 11 = 46 46 + 12c + -5c = 0 Combine like terms: 12c + -5c = 7c 46 + 7c = 0 Solving 46 + 7c = 0 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 = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 7c = 0 + -46 7c = 0 + -46 Combine like terms: 0 + -46 = -46 7c = -46 Divide each side by '7'. c = -6.571428571 Simplifying c = -6.571428571
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