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Simplifying 6(c + 3) + 4(1 + -1c) = 0 Reorder the terms: 6(3 + c) + 4(1 + -1c) = 0 (3 * 6 + c * 6) + 4(1 + -1c) = 0 (18 + 6c) + 4(1 + -1c) = 0 18 + 6c + (1 * 4 + -1c * 4) = 0 18 + 6c + (4 + -4c) = 0 Reorder the terms: 18 + 4 + 6c + -4c = 0 Combine like terms: 18 + 4 = 22 22 + 6c + -4c = 0 Combine like terms: 6c + -4c = 2c 22 + 2c = 0 Solving 22 + 2c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 2c = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 2c = 0 + -22 2c = 0 + -22 Combine like terms: 0 + -22 = -22 2c = -22 Divide each side by '2'. c = -11 Simplifying c = -11
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