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Simplifying 8 + 5(3c + -1) = 39c + -13 Reorder the terms: 8 + 5(-1 + 3c) = 39c + -13 8 + (-1 * 5 + 3c * 5) = 39c + -13 8 + (-5 + 15c) = 39c + -13 Combine like terms: 8 + -5 = 3 3 + 15c = 39c + -13 Reorder the terms: 3 + 15c = -13 + 39c Solving 3 + 15c = -13 + 39c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-39c' to each side of the equation. 3 + 15c + -39c = -13 + 39c + -39c Combine like terms: 15c + -39c = -24c 3 + -24c = -13 + 39c + -39c Combine like terms: 39c + -39c = 0 3 + -24c = -13 + 0 3 + -24c = -13 Add '-3' to each side of the equation. 3 + -3 + -24c = -13 + -3 Combine like terms: 3 + -3 = 0 0 + -24c = -13 + -3 -24c = -13 + -3 Combine like terms: -13 + -3 = -16 -24c = -16 Divide each side by '-24'. c = 0.6666666667 Simplifying c = 0.6666666667
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