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Simplifying 1 + -8k = 13 + -6k Solving 1 + -8k = 13 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 1 + -8k + 6k = 13 + -6k + 6k Combine like terms: -8k + 6k = -2k 1 + -2k = 13 + -6k + 6k Combine like terms: -6k + 6k = 0 1 + -2k = 13 + 0 1 + -2k = 13 Add '-1' to each side of the equation. 1 + -1 + -2k = 13 + -1 Combine like terms: 1 + -1 = 0 0 + -2k = 13 + -1 -2k = 13 + -1 Combine like terms: 13 + -1 = 12 -2k = 12 Divide each side by '-2'. k = -6 Simplifying k = -6
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