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