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Simplifying -5 + 7 + 2k + -3k = k + -4 Combine like terms: -5 + 7 = 2 2 + 2k + -3k = k + -4 Combine like terms: 2k + -3k = -1k 2 + -1k = k + -4 Reorder the terms: 2 + -1k = -4 + k Solving 2 + -1k = -4 + 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. 2 + -1k + -1k = -4 + k + -1k Combine like terms: -1k + -1k = -2k 2 + -2k = -4 + k + -1k Combine like terms: k + -1k = 0 2 + -2k = -4 + 0 2 + -2k = -4 Add '-2' to each side of the equation. 2 + -2 + -2k = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -2k = -4 + -2 -2k = -4 + -2 Combine like terms: -4 + -2 = -6 -2k = -6 Divide each side by '-2'. k = 3 Simplifying k = 3
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