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Simplifying (3c + -13) + (3c + -12) + (5c + -45) + (c + -3) + (5c + -50) = 540 Reorder the terms: (-13 + 3c) + (3c + -12) + (5c + -45) + (c + -3) + (5c + -50) = 540 Remove parenthesis around (-13 + 3c) -13 + 3c + (3c + -12) + (5c + -45) + (c + -3) + (5c + -50) = 540 Reorder the terms: -13 + 3c + (-12 + 3c) + (5c + -45) + (c + -3) + (5c + -50) = 540 Remove parenthesis around (-12 + 3c) -13 + 3c + -12 + 3c + (5c + -45) + (c + -3) + (5c + -50) = 540 Reorder the terms: -13 + 3c + -12 + 3c + (-45 + 5c) + (c + -3) + (5c + -50) = 540 Remove parenthesis around (-45 + 5c) -13 + 3c + -12 + 3c + -45 + 5c + (c + -3) + (5c + -50) = 540 Reorder the terms: -13 + 3c + -12 + 3c + -45 + 5c + (-3 + c) + (5c + -50) = 540 Remove parenthesis around (-3 + c) -13 + 3c + -12 + 3c + -45 + 5c + -3 + c + (5c + -50) = 540 Reorder the terms: -13 + 3c + -12 + 3c + -45 + 5c + -3 + c + (-50 + 5c) = 540 Remove parenthesis around (-50 + 5c) -13 + 3c + -12 + 3c + -45 + 5c + -3 + c + -50 + 5c = 540 Reorder the terms: -13 + -12 + -45 + -3 + -50 + 3c + 3c + 5c + c + 5c = 540 Combine like terms: -13 + -12 = -25 -25 + -45 + -3 + -50 + 3c + 3c + 5c + c + 5c = 540 Combine like terms: -25 + -45 = -70 -70 + -3 + -50 + 3c + 3c + 5c + c + 5c = 540 Combine like terms: -70 + -3 = -73 -73 + -50 + 3c + 3c + 5c + c + 5c = 540 Combine like terms: -73 + -50 = -123 -123 + 3c + 3c + 5c + c + 5c = 540 Combine like terms: 3c + 3c = 6c -123 + 6c + 5c + c + 5c = 540 Combine like terms: 6c + 5c = 11c -123 + 11c + c + 5c = 540 Combine like terms: 11c + c = 12c -123 + 12c + 5c = 540 Combine like terms: 12c + 5c = 17c -123 + 17c = 540 Solving -123 + 17c = 540 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '123' to each side of the equation. -123 + 123 + 17c = 540 + 123 Combine like terms: -123 + 123 = 0 0 + 17c = 540 + 123 17c = 540 + 123 Combine like terms: 540 + 123 = 663 17c = 663 Divide each side by '17'. c = 39 Simplifying c = 39
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