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Simplifying -31 = -6k + 7 Reorder the terms: -31 = 7 + -6k Solving -31 = 7 + -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. -31 + 6k = 7 + -6k + 6k Combine like terms: -6k + 6k = 0 -31 + 6k = 7 + 0 -31 + 6k = 7 Add '31' to each side of the equation. -31 + 31 + 6k = 7 + 31 Combine like terms: -31 + 31 = 0 0 + 6k = 7 + 31 6k = 7 + 31 Combine like terms: 7 + 31 = 38 6k = 38 Divide each side by '6'. k = 6.333333333 Simplifying k = 6.333333333
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