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Simplifying 4k + -3(k + -2) = 8 Reorder the terms: 4k + -3(-2 + k) = 8 4k + (-2 * -3 + k * -3) = 8 4k + (6 + -3k) = 8 Reorder the terms: 6 + 4k + -3k = 8 Combine like terms: 4k + -3k = 1k 6 + 1k = 8 Solving 6 + 1k = 8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 1k = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 1k = 8 + -6 1k = 8 + -6 Combine like terms: 8 + -6 = 2 1k = 2 Divide each side by '1'. k = 2 Simplifying k = 2
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