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Simplifying -2k + -1(4 + 3k) = -22 + k -2k + (4 * -1 + 3k * -1) = -22 + k -2k + (-4 + -3k) = -22 + k Reorder the terms: -4 + -2k + -3k = -22 + k Combine like terms: -2k + -3k = -5k -4 + -5k = -22 + k Solving -4 + -5k = -22 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -4 + -5k + -1k = -22 + k + -1k Combine like terms: -5k + -1k = -6k -4 + -6k = -22 + k + -1k Combine like terms: k + -1k = 0 -4 + -6k = -22 + 0 -4 + -6k = -22 Add '4' to each side of the equation. -4 + 4 + -6k = -22 + 4 Combine like terms: -4 + 4 = 0 0 + -6k = -22 + 4 -6k = -22 + 4 Combine like terms: -22 + 4 = -18 -6k = -18 Divide each side by '-6'. k = 3 Simplifying k = 3
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