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Simplifying 5(c + 2) + -2c = 35 + 5 Reorder the terms: 5(2 + c) + -2c = 35 + 5 (2 * 5 + c * 5) + -2c = 35 + 5 (10 + 5c) + -2c = 35 + 5 Combine like terms: 5c + -2c = 3c 10 + 3c = 35 + 5 Combine like terms: 35 + 5 = 40 10 + 3c = 40 Solving 10 + 3c = 40 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 + 3c = 40 + -10 Combine like terms: 10 + -10 = 0 0 + 3c = 40 + -10 3c = 40 + -10 Combine like terms: 40 + -10 = 30 3c = 30 Divide each side by '3'. c = 10 Simplifying c = 10
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