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Simplifying 5(c + 2) + 7c = 0 Reorder the terms: 5(2 + c) + 7c = 0 (2 * 5 + c * 5) + 7c = 0 (10 + 5c) + 7c = 0 Combine like terms: 5c + 7c = 12c 10 + 12c = 0 Solving 10 + 12c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 12c = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 12c = 0 + -10 12c = 0 + -10 Combine like terms: 0 + -10 = -10 12c = -10 Divide each side by '12'. c = -0.8333333333 Simplifying c = -0.8333333333
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