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Simplifying -5 + k = 2k + -9 + 8 Reorder the terms: -5 + k = -9 + 8 + 2k Combine like terms: -9 + 8 = -1 -5 + k = -1 + 2k Solving -5 + k = -1 + 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. -5 + k + -2k = -1 + 2k + -2k Combine like terms: k + -2k = -1k -5 + -1k = -1 + 2k + -2k Combine like terms: 2k + -2k = 0 -5 + -1k = -1 + 0 -5 + -1k = -1 Add '5' to each side of the equation. -5 + 5 + -1k = -1 + 5 Combine like terms: -5 + 5 = 0 0 + -1k = -1 + 5 -1k = -1 + 5 Combine like terms: -1 + 5 = 4 -1k = 4 Divide each side by '-1'. k = -4 Simplifying k = -4
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