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Simplifying (2c + -13) + (2c + -18) + (c + -14) = 180 Reorder the terms: (-13 + 2c) + (2c + -18) + (c + -14) = 180 Remove parenthesis around (-13 + 2c) -13 + 2c + (2c + -18) + (c + -14) = 180 Reorder the terms: -13 + 2c + (-18 + 2c) + (c + -14) = 180 Remove parenthesis around (-18 + 2c) -13 + 2c + -18 + 2c + (c + -14) = 180 Reorder the terms: -13 + 2c + -18 + 2c + (-14 + c) = 180 Remove parenthesis around (-14 + c) -13 + 2c + -18 + 2c + -14 + c = 180 Reorder the terms: -13 + -18 + -14 + 2c + 2c + c = 180 Combine like terms: -13 + -18 = -31 -31 + -14 + 2c + 2c + c = 180 Combine like terms: -31 + -14 = -45 -45 + 2c + 2c + c = 180 Combine like terms: 2c + 2c = 4c -45 + 4c + c = 180 Combine like terms: 4c + c = 5c -45 + 5c = 180 Solving -45 + 5c = 180 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 5c = 180 + 45 Combine like terms: -45 + 45 = 0 0 + 5c = 180 + 45 5c = 180 + 45 Combine like terms: 180 + 45 = 225 5c = 225 Divide each side by '5'. c = 45 Simplifying c = 45
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