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