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Simplifying 5(3 + k) = -40 (3 * 5 + k * 5) = -40 (15 + 5k) = -40 Solving 15 + 5k = -40 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 5k = -40 + -15 Combine like terms: 15 + -15 = 0 0 + 5k = -40 + -15 5k = -40 + -15 Combine like terms: -40 + -15 = -55 5k = -55 Divide each side by '5'. k = -11 Simplifying k = -11
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