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Simplifying (3c + 6) + (c + 2) = 500 Reorder the terms: (6 + 3c) + (c + 2) = 500 Remove parenthesis around (6 + 3c) 6 + 3c + (c + 2) = 500 Reorder the terms: 6 + 3c + (2 + c) = 500 Remove parenthesis around (2 + c) 6 + 3c + 2 + c = 500 Reorder the terms: 6 + 2 + 3c + c = 500 Combine like terms: 6 + 2 = 8 8 + 3c + c = 500 Combine like terms: 3c + c = 4c 8 + 4c = 500 Solving 8 + 4c = 500 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4c = 500 + -8 Combine like terms: 8 + -8 = 0 0 + 4c = 500 + -8 4c = 500 + -8 Combine like terms: 500 + -8 = 492 4c = 492 Divide each side by '4'. c = 123 Simplifying c = 123
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