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Simplifying -3k + 2k + 5k + 9 = -7 Reorder the terms: 9 + -3k + 2k + 5k = -7 Combine like terms: -3k + 2k = -1k 9 + -1k + 5k = -7 Combine like terms: -1k + 5k = 4k 9 + 4k = -7 Solving 9 + 4k = -7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4k = -7 + -9 Combine like terms: 9 + -9 = 0 0 + 4k = -7 + -9 4k = -7 + -9 Combine like terms: -7 + -9 = -16 4k = -16 Divide each side by '4'. k = -4 Simplifying k = -4
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