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Simplifying 23 + 11 + 2c = 10 + -2c Combine like terms: 23 + 11 = 34 34 + 2c = 10 + -2c Solving 34 + 2c = 10 + -2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2c' to each side of the equation. 34 + 2c + 2c = 10 + -2c + 2c Combine like terms: 2c + 2c = 4c 34 + 4c = 10 + -2c + 2c Combine like terms: -2c + 2c = 0 34 + 4c = 10 + 0 34 + 4c = 10 Add '-34' to each side of the equation. 34 + -34 + 4c = 10 + -34 Combine like terms: 34 + -34 = 0 0 + 4c = 10 + -34 4c = 10 + -34 Combine like terms: 10 + -34 = -24 4c = -24 Divide each side by '4'. c = -6 Simplifying c = -6
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