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Simplifying 10 + 3(c + 2) = 31 Reorder the terms: 10 + 3(2 + c) = 31 10 + (2 * 3 + c * 3) = 31 10 + (6 + 3c) = 31 Combine like terms: 10 + 6 = 16 16 + 3c = 31 Solving 16 + 3c = 31 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 3c = 31 + -16 Combine like terms: 16 + -16 = 0 0 + 3c = 31 + -16 3c = 31 + -16 Combine like terms: 31 + -16 = 15 3c = 15 Divide each side by '3'. c = 5 Simplifying c = 5
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