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Simplifying k + 1 = 13 + -3k Reorder the terms: 1 + k = 13 + -3k Solving 1 + k = 13 + -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. 1 + k + 3k = 13 + -3k + 3k Combine like terms: k + 3k = 4k 1 + 4k = 13 + -3k + 3k Combine like terms: -3k + 3k = 0 1 + 4k = 13 + 0 1 + 4k = 13 Add '-1' to each side of the equation. 1 + -1 + 4k = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 4k = 13 + -1 4k = 13 + -1 Combine like terms: 13 + -1 = 12 4k = 12 Divide each side by '4'. k = 3 Simplifying k = 3
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