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Simplifying 4k + -1k + 3 = -7 + -1k + -2k + -4 Reorder the terms: 3 + 4k + -1k = -7 + -1k + -2k + -4 Combine like terms: 4k + -1k = 3k 3 + 3k = -7 + -1k + -2k + -4 Reorder the terms: 3 + 3k = -7 + -4 + -1k + -2k Combine like terms: -7 + -4 = -11 3 + 3k = -11 + -1k + -2k Combine like terms: -1k + -2k = -3k 3 + 3k = -11 + -3k Solving 3 + 3k = -11 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 3 + 3k + 3k = -11 + -3k + 3k Combine like terms: 3k + 3k = 6k 3 + 6k = -11 + -3k + 3k Combine like terms: -3k + 3k = 0 3 + 6k = -11 + 0 3 + 6k = -11 Add '-3' to each side of the equation. 3 + -3 + 6k = -11 + -3 Combine like terms: 3 + -3 = 0 0 + 6k = -11 + -3 6k = -11 + -3 Combine like terms: -11 + -3 = -14 6k = -14 Divide each side by '6'. k = -2.333333333 Simplifying k = -2.333333333
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