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Simplifying 4(3c + 2) = 2c + -2 Reorder the terms: 4(2 + 3c) = 2c + -2 (2 * 4 + 3c * 4) = 2c + -2 (8 + 12c) = 2c + -2 Reorder the terms: 8 + 12c = -2 + 2c Solving 8 + 12c = -2 + 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. 8 + 12c + -2c = -2 + 2c + -2c Combine like terms: 12c + -2c = 10c 8 + 10c = -2 + 2c + -2c Combine like terms: 2c + -2c = 0 8 + 10c = -2 + 0 8 + 10c = -2 Add '-8' to each side of the equation. 8 + -8 + 10c = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 10c = -2 + -8 10c = -2 + -8 Combine like terms: -2 + -8 = -10 10c = -10 Divide each side by '10'. c = -1 Simplifying c = -1
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