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Simplifying 12 = 2(c + 11) + -1(-2) Reorder the terms: 12 = 2(11 + c) + -1(-2) 12 = (11 * 2 + c * 2) + -1(-2) 12 = (22 + 2c) + -1(-2) Multiply -1 * -2 12 = 22 + 2c + 2 Reorder the terms: 12 = 22 + 2 + 2c Combine like terms: 22 + 2 = 24 12 = 24 + 2c Solving 12 = 24 + 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. 12 + -2c = 24 + 2c + -2c Combine like terms: 2c + -2c = 0 12 + -2c = 24 + 0 12 + -2c = 24 Add '-12' to each side of the equation. 12 + -12 + -2c = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -2c = 24 + -12 -2c = 24 + -12 Combine like terms: 24 + -12 = 12 -2c = 12 Divide each side by '-2'. c = -6 Simplifying c = -6
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