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Simplifying 13 + 5(c + -3) = 38 Reorder the terms: 13 + 5(-3 + c) = 38 13 + (-3 * 5 + c * 5) = 38 13 + (-15 + 5c) = 38 Combine like terms: 13 + -15 = -2 -2 + 5c = 38 Solving -2 + 5c = 38 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 + 5c = 38 + 2 Combine like terms: -2 + 2 = 0 0 + 5c = 38 + 2 5c = 38 + 2 Combine like terms: 38 + 2 = 40 5c = 40 Divide each side by '5'. c = 8 Simplifying c = 8
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