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