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Simplifying 13 + -1k = 1 + 2k Solving 13 + -1k = 1 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 13 + -1k + -2k = 1 + 2k + -2k Combine like terms: -1k + -2k = -3k 13 + -3k = 1 + 2k + -2k Combine like terms: 2k + -2k = 0 13 + -3k = 1 + 0 13 + -3k = 1 Add '-13' to each side of the equation. 13 + -13 + -3k = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -3k = 1 + -13 -3k = 1 + -13 Combine like terms: 1 + -13 = -12 -3k = -12 Divide each side by '-3'. k = 4 Simplifying k = 4
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