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Simplifying 2(c + 10) + 3c + 12 = 0 Reorder the terms: 2(10 + c) + 3c + 12 = 0 (10 * 2 + c * 2) + 3c + 12 = 0 (20 + 2c) + 3c + 12 = 0 Reorder the terms: 20 + 12 + 2c + 3c = 0 Combine like terms: 20 + 12 = 32 32 + 2c + 3c = 0 Combine like terms: 2c + 3c = 5c 32 + 5c = 0 Solving 32 + 5c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 5c = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 5c = 0 + -32 5c = 0 + -32 Combine like terms: 0 + -32 = -32 5c = -32 Divide each side by '5'. c = -6.4 Simplifying c = -6.4
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