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Simplifying 5(k + 2) + -1(4k + -1) = 8 Reorder the terms: 5(2 + k) + -1(4k + -1) = 8 (2 * 5 + k * 5) + -1(4k + -1) = 8 (10 + 5k) + -1(4k + -1) = 8 Reorder the terms: 10 + 5k + -1(-1 + 4k) = 8 10 + 5k + (-1 * -1 + 4k * -1) = 8 10 + 5k + (1 + -4k) = 8 Reorder the terms: 10 + 1 + 5k + -4k = 8 Combine like terms: 10 + 1 = 11 11 + 5k + -4k = 8 Combine like terms: 5k + -4k = 1k 11 + 1k = 8 Solving 11 + 1k = 8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 1k = 8 + -11 Combine like terms: 11 + -11 = 0 0 + 1k = 8 + -11 1k = 8 + -11 Combine like terms: 8 + -11 = -3 1k = -3 Divide each side by '1'. k = -3 Simplifying k = -3
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