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Simplifying -8 + -1k + -3 + 2 + -2k = k + -9 Reorder the terms: -8 + -3 + 2 + -1k + -2k = k + -9 Combine like terms: -8 + -3 = -11 -11 + 2 + -1k + -2k = k + -9 Combine like terms: -11 + 2 = -9 -9 + -1k + -2k = k + -9 Combine like terms: -1k + -2k = -3k -9 + -3k = k + -9 Reorder the terms: -9 + -3k = -9 + k Add '9' to each side of the equation. -9 + 9 + -3k = -9 + 9 + k Combine like terms: -9 + 9 = 0 0 + -3k = -9 + 9 + k -3k = -9 + 9 + k Combine like terms: -9 + 9 = 0 -3k = 0 + k -3k = k Solving -3k = 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. -3k + -1k = k + -1k Combine like terms: -3k + -1k = -4k -4k = k + -1k Combine like terms: k + -1k = 0 -4k = 0 Divide each side by '-4'. k = 0 Simplifying k = 0
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