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Simplifying (5c + 6) + (3c + -2) = 180 Reorder the terms: (6 + 5c) + (3c + -2) = 180 Remove parenthesis around (6 + 5c) 6 + 5c + (3c + -2) = 180 Reorder the terms: 6 + 5c + (-2 + 3c) = 180 Remove parenthesis around (-2 + 3c) 6 + 5c + -2 + 3c = 180 Reorder the terms: 6 + -2 + 5c + 3c = 180 Combine like terms: 6 + -2 = 4 4 + 5c + 3c = 180 Combine like terms: 5c + 3c = 8c 4 + 8c = 180 Solving 4 + 8c = 180 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 8c = 180 + -4 Combine like terms: 4 + -4 = 0 0 + 8c = 180 + -4 8c = 180 + -4 Combine like terms: 180 + -4 = 176 8c = 176 Divide each side by '8'. c = 22 Simplifying c = 22
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