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Simplifying (9c + 5) + (7c + -17) = 180 Reorder the terms: (5 + 9c) + (7c + -17) = 180 Remove parenthesis around (5 + 9c) 5 + 9c + (7c + -17) = 180 Reorder the terms: 5 + 9c + (-17 + 7c) = 180 Remove parenthesis around (-17 + 7c) 5 + 9c + -17 + 7c = 180 Reorder the terms: 5 + -17 + 9c + 7c = 180 Combine like terms: 5 + -17 = -12 -12 + 9c + 7c = 180 Combine like terms: 9c + 7c = 16c -12 + 16c = 180 Solving -12 + 16c = 180 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 16c = 180 + 12 Combine like terms: -12 + 12 = 0 0 + 16c = 180 + 12 16c = 180 + 12 Combine like terms: 180 + 12 = 192 16c = 192 Divide each side by '16'. c = 12 Simplifying c = 12
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