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Simplifying 31 = 3 + -4k Solving 31 = 3 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 31 + 4k = 3 + -4k + 4k Combine like terms: -4k + 4k = 0 31 + 4k = 3 + 0 31 + 4k = 3 Add '-31' to each side of the equation. 31 + -31 + 4k = 3 + -31 Combine like terms: 31 + -31 = 0 0 + 4k = 3 + -31 4k = 3 + -31 Combine like terms: 3 + -31 = -28 4k = -28 Divide each side by '4'. k = -7 Simplifying k = -7
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