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Simplifying (5 + -1c) + (3c + -3) = 6 Remove parenthesis around (5 + -1c) 5 + -1c + (3c + -3) = 6 Reorder the terms: 5 + -1c + (-3 + 3c) = 6 Remove parenthesis around (-3 + 3c) 5 + -1c + -3 + 3c = 6 Reorder the terms: 5 + -3 + -1c + 3c = 6 Combine like terms: 5 + -3 = 2 2 + -1c + 3c = 6 Combine like terms: -1c + 3c = 2c 2 + 2c = 6 Solving 2 + 2c = 6 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2c = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 2c = 6 + -2 2c = 6 + -2 Combine like terms: 6 + -2 = 4 2c = 4 Divide each side by '2'. c = 2 Simplifying c = 2
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