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Simplifying 45 = 2(c + 12) Reorder the terms: 45 = 2(12 + c) 45 = (12 * 2 + c * 2) 45 = (24 + 2c) Solving 45 = 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. 45 + -2c = 24 + 2c + -2c Combine like terms: 2c + -2c = 0 45 + -2c = 24 + 0 45 + -2c = 24 Add '-45' to each side of the equation. 45 + -45 + -2c = 24 + -45 Combine like terms: 45 + -45 = 0 0 + -2c = 24 + -45 -2c = 24 + -45 Combine like terms: 24 + -45 = -21 -2c = -21 Divide each side by '-2'. c = 10.5 Simplifying c = 10.5
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