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Simplifying (k + 1) * 5 = 0 Reorder the terms: (1 + k) * 5 = 0 Reorder the terms for easier multiplication: 5(1 + k) = 0 (1 * 5 + k * 5) = 0 (5 + 5k) = 0 Solving 5 + 5k = 0 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 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5k = 0 + -5 5k = 0 + -5 Combine like terms: 0 + -5 = -5 5k = -5 Divide each side by '5'. k = -1 Simplifying k = -1
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