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Simplifying -3k + 1 = k + -7 + -5k Reorder the terms: 1 + -3k = k + -7 + -5k Reorder the terms: 1 + -3k = -7 + k + -5k Combine like terms: k + -5k = -4k 1 + -3k = -7 + -4k Solving 1 + -3k = -7 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 1 + -3k + 4k = -7 + -4k + 4k Combine like terms: -3k + 4k = 1k 1 + 1k = -7 + -4k + 4k Combine like terms: -4k + 4k = 0 1 + 1k = -7 + 0 1 + 1k = -7 Add '-1' to each side of the equation. 1 + -1 + 1k = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 1k = -7 + -1 1k = -7 + -1 Combine like terms: -7 + -1 = -8 1k = -8 Divide each side by '1'. k = -8 Simplifying k = -8
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