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Simplifying 5(c + 2) + 3c = 50 Reorder the terms: 5(2 + c) + 3c = 50 (2 * 5 + c * 5) + 3c = 50 (10 + 5c) + 3c = 50 Combine like terms: 5c + 3c = 8c 10 + 8c = 50 Solving 10 + 8c = 50 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 + 8c = 50 + -10 Combine like terms: 10 + -10 = 0 0 + 8c = 50 + -10 8c = 50 + -10 Combine like terms: 50 + -10 = 40 8c = 40 Divide each side by '8'. c = 5 Simplifying c = 5
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