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Simplifying -4(k + -1) = -3(k + 2) Reorder the terms: -4(-1 + k) = -3(k + 2) (-1 * -4 + k * -4) = -3(k + 2) (4 + -4k) = -3(k + 2) Reorder the terms: 4 + -4k = -3(2 + k) 4 + -4k = (2 * -3 + k * -3) 4 + -4k = (-6 + -3k) Solving 4 + -4k = -6 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 4 + -4k + 3k = -6 + -3k + 3k Combine like terms: -4k + 3k = -1k 4 + -1k = -6 + -3k + 3k Combine like terms: -3k + 3k = 0 4 + -1k = -6 + 0 4 + -1k = -6 Add '-4' to each side of the equation. 4 + -4 + -1k = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -1k = -6 + -4 -1k = -6 + -4 Combine like terms: -6 + -4 = -10 -1k = -10 Divide each side by '-1'. k = 10 Simplifying k = 10
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