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Simplifying 86 = 6(6 + -1k) + 2 86 = (6 * 6 + -1k * 6) + 2 86 = (36 + -6k) + 2 Reorder the terms: 86 = 36 + 2 + -6k Combine like terms: 36 + 2 = 38 86 = 38 + -6k Solving 86 = 38 + -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. 86 + 6k = 38 + -6k + 6k Combine like terms: -6k + 6k = 0 86 + 6k = 38 + 0 86 + 6k = 38 Add '-86' to each side of the equation. 86 + -86 + 6k = 38 + -86 Combine like terms: 86 + -86 = 0 0 + 6k = 38 + -86 6k = 38 + -86 Combine like terms: 38 + -86 = -48 6k = -48 Divide each side by '6'. k = -8 Simplifying k = -8
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