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