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Simplifying 39 + -1(2 + 4) = 2(c + 5) + c Combine like terms: 2 + 4 = 6 39 + -1(6) = 2(c + 5) + c Multiply -1 * 6 39 + -6 = 2(c + 5) + c Combine like terms: 39 + -6 = 33 33 = 2(c + 5) + c Reorder the terms: 33 = 2(5 + c) + c 33 = (5 * 2 + c * 2) + c 33 = (10 + 2c) + c Combine like terms: 2c + c = 3c 33 = 10 + 3c Solving 33 = 10 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 33 + -3c = 10 + 3c + -3c Combine like terms: 3c + -3c = 0 33 + -3c = 10 + 0 33 + -3c = 10 Add '-33' to each side of the equation. 33 + -33 + -3c = 10 + -33 Combine like terms: 33 + -33 = 0 0 + -3c = 10 + -33 -3c = 10 + -33 Combine like terms: 10 + -33 = -23 -3c = -23 Divide each side by '-3'. c = 7.666666667 Simplifying c = 7.666666667
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