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Simplifying 31 = 6 + 4(k + -5) Reorder the terms: 31 = 6 + 4(-5 + k) 31 = 6 + (-5 * 4 + k * 4) 31 = 6 + (-20 + 4k) Combine like terms: 6 + -20 = -14 31 = -14 + 4k Solving 31 = -14 + 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 = -14 + 4k + -4k Combine like terms: 4k + -4k = 0 31 + -4k = -14 + 0 31 + -4k = -14 Add '-31' to each side of the equation. 31 + -31 + -4k = -14 + -31 Combine like terms: 31 + -31 = 0 0 + -4k = -14 + -31 -4k = -14 + -31 Combine like terms: -14 + -31 = -45 -4k = -45 Divide each side by '-4'. k = 11.25 Simplifying k = 11.25
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