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Simplifying k + -4 + -2k = 7 + 3k + -1k + 5 Reorder the terms: -4 + k + -2k = 7 + 3k + -1k + 5 Combine like terms: k + -2k = -1k -4 + -1k = 7 + 3k + -1k + 5 Reorder the terms: -4 + -1k = 7 + 5 + 3k + -1k Combine like terms: 7 + 5 = 12 -4 + -1k = 12 + 3k + -1k Combine like terms: 3k + -1k = 2k -4 + -1k = 12 + 2k Solving -4 + -1k = 12 + 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. -4 + -1k + -2k = 12 + 2k + -2k Combine like terms: -1k + -2k = -3k -4 + -3k = 12 + 2k + -2k Combine like terms: 2k + -2k = 0 -4 + -3k = 12 + 0 -4 + -3k = 12 Add '4' to each side of the equation. -4 + 4 + -3k = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -3k = 12 + 4 -3k = 12 + 4 Combine like terms: 12 + 4 = 16 -3k = 16 Divide each side by '-3'. k = -5.333333333 Simplifying k = -5.333333333
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