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Simplifying 20 + -1c = 10 + -1(24 + -1c) 20 + -1c = 10 + (24 * -1 + -1c * -1) 20 + -1c = 10 + (-24 + 1c) Combine like terms: 10 + -24 = -14 20 + -1c = -14 + 1c Solving 20 + -1c = -14 + 1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 20 + -1c + -1c = -14 + 1c + -1c Combine like terms: -1c + -1c = -2c 20 + -2c = -14 + 1c + -1c Combine like terms: 1c + -1c = 0 20 + -2c = -14 + 0 20 + -2c = -14 Add '-20' to each side of the equation. 20 + -20 + -2c = -14 + -20 Combine like terms: 20 + -20 = 0 0 + -2c = -14 + -20 -2c = -14 + -20 Combine like terms: -14 + -20 = -34 -2c = -34 Divide each side by '-2'. c = 17 Simplifying c = 17
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