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Simplifying 5(k + 2) = -5(-1K + -6) + -5K Reorder the terms: 5(2 + k) = -5(-1K + -6) + -5K (2 * 5 + k * 5) = -5(-1K + -6) + -5K (10 + 5k) = -5(-1K + -6) + -5K Reorder the terms: 10 + 5k = -5(-6 + -1K) + -5K 10 + 5k = (-6 * -5 + -1K * -5) + -5K 10 + 5k = (30 + 5K) + -5K Combine like terms: 5K + -5K = 0 10 + 5k = 30 + 0 10 + 5k = 30 Solving 10 + 5k = 30 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 5k = 30 + -10 Combine like terms: 10 + -10 = 0 0 + 5k = 30 + -10 5k = 30 + -10 Combine like terms: 30 + -10 = 20 5k = 20 Divide each side by '5'. k = 4 Simplifying k = 4
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