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Simplifying (2c + 6) + 3(c + 8) = 0 Reorder the terms: (6 + 2c) + 3(c + 8) = 0 Remove parenthesis around (6 + 2c) 6 + 2c + 3(c + 8) = 0 Reorder the terms: 6 + 2c + 3(8 + c) = 0 6 + 2c + (8 * 3 + c * 3) = 0 6 + 2c + (24 + 3c) = 0 Reorder the terms: 6 + 24 + 2c + 3c = 0 Combine like terms: 6 + 24 = 30 30 + 2c + 3c = 0 Combine like terms: 2c + 3c = 5c 30 + 5c = 0 Solving 30 + 5c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 5c = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 5c = 0 + -30 5c = 0 + -30 Combine like terms: 0 + -30 = -30 5c = -30 Divide each side by '5'. c = -6 Simplifying c = -6
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