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Simplifying 5(k + 1) = -50 Reorder the terms: 5(1 + k) = -50 (1 * 5 + k * 5) = -50 (5 + 5k) = -50 Solving 5 + 5k = -50 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 5k = -50 + -5 Combine like terms: 5 + -5 = 0 0 + 5k = -50 + -5 5k = -50 + -5 Combine like terms: -50 + -5 = -55 5k = -55 Divide each side by '5'. k = -11 Simplifying k = -11
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