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Simplifying 12c + -2(c + -13) = 11 + -5(2c + -7) Reorder the terms: 12c + -2(-13 + c) = 11 + -5(2c + -7) 12c + (-13 * -2 + c * -2) = 11 + -5(2c + -7) 12c + (26 + -2c) = 11 + -5(2c + -7) Reorder the terms: 26 + 12c + -2c = 11 + -5(2c + -7) Combine like terms: 12c + -2c = 10c 26 + 10c = 11 + -5(2c + -7) Reorder the terms: 26 + 10c = 11 + -5(-7 + 2c) 26 + 10c = 11 + (-7 * -5 + 2c * -5) 26 + 10c = 11 + (35 + -10c) Combine like terms: 11 + 35 = 46 26 + 10c = 46 + -10c Solving 26 + 10c = 46 + -10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '10c' to each side of the equation. 26 + 10c + 10c = 46 + -10c + 10c Combine like terms: 10c + 10c = 20c 26 + 20c = 46 + -10c + 10c Combine like terms: -10c + 10c = 0 26 + 20c = 46 + 0 26 + 20c = 46 Add '-26' to each side of the equation. 26 + -26 + 20c = 46 + -26 Combine like terms: 26 + -26 = 0 0 + 20c = 46 + -26 20c = 46 + -26 Combine like terms: 46 + -26 = 20 20c = 20 Divide each side by '20'. c = 1 Simplifying c = 1
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