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Simplifying [2c + 6] + 3[c + 8] = 0 Reorder the terms: [6 + 2c] + 3[c + 8] = 0 Remove brackets 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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