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