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Simplifying 3(2c + 2) = -4(5 + -1c) Reorder the terms: 3(2 + 2c) = -4(5 + -1c) (2 * 3 + 2c * 3) = -4(5 + -1c) (6 + 6c) = -4(5 + -1c) 6 + 6c = (5 * -4 + -1c * -4) 6 + 6c = (-20 + 4c) Solving 6 + 6c = -20 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 6 + 6c + -4c = -20 + 4c + -4c Combine like terms: 6c + -4c = 2c 6 + 2c = -20 + 4c + -4c Combine like terms: 4c + -4c = 0 6 + 2c = -20 + 0 6 + 2c = -20 Add '-6' to each side of the equation. 6 + -6 + 2c = -20 + -6 Combine like terms: 6 + -6 = 0 0 + 2c = -20 + -6 2c = -20 + -6 Combine like terms: -20 + -6 = -26 2c = -26 Divide each side by '2'. c = -13 Simplifying c = -13
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