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Simplifying 4k + -27 = -2k + -9 Reorder the terms: -27 + 4k = -2k + -9 Reorder the terms: -27 + 4k = -9 + -2k Solving -27 + 4k = -9 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -27 + 4k + 2k = -9 + -2k + 2k Combine like terms: 4k + 2k = 6k -27 + 6k = -9 + -2k + 2k Combine like terms: -2k + 2k = 0 -27 + 6k = -9 + 0 -27 + 6k = -9 Add '27' to each side of the equation. -27 + 27 + 6k = -9 + 27 Combine like terms: -27 + 27 = 0 0 + 6k = -9 + 27 6k = -9 + 27 Combine like terms: -9 + 27 = 18 6k = 18 Divide each side by '6'. k = 3 Simplifying k = 3
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