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Simplifying 5(k + 2) + -4k = -5 + 8 Reorder the terms: 5(2 + k) + -4k = -5 + 8 (2 * 5 + k * 5) + -4k = -5 + 8 (10 + 5k) + -4k = -5 + 8 Combine like terms: 5k + -4k = 1k 10 + 1k = -5 + 8 Combine like terms: -5 + 8 = 3 10 + 1k = 3 Solving 10 + 1k = 3 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 + 1k = 3 + -10 Combine like terms: 10 + -10 = 0 0 + 1k = 3 + -10 1k = 3 + -10 Combine like terms: 3 + -10 = -7 1k = -7 Divide each side by '1'. k = -7 Simplifying k = -7
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