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Simplifying 2(12 + -2c) = 3(9 + -1c) (12 * 2 + -2c * 2) = 3(9 + -1c) (24 + -4c) = 3(9 + -1c) 24 + -4c = (9 * 3 + -1c * 3) 24 + -4c = (27 + -3c) Solving 24 + -4c = 27 + -3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3c' to each side of the equation. 24 + -4c + 3c = 27 + -3c + 3c Combine like terms: -4c + 3c = -1c 24 + -1c = 27 + -3c + 3c Combine like terms: -3c + 3c = 0 24 + -1c = 27 + 0 24 + -1c = 27 Add '-24' to each side of the equation. 24 + -24 + -1c = 27 + -24 Combine like terms: 24 + -24 = 0 0 + -1c = 27 + -24 -1c = 27 + -24 Combine like terms: 27 + -24 = 3 -1c = 3 Divide each side by '-1'. c = -3 Simplifying c = -3
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