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Simplifying 4(k + 5) + 23 = 91 Reorder the terms: 4(5 + k) + 23 = 91 (5 * 4 + k * 4) + 23 = 91 (20 + 4k) + 23 = 91 Reorder the terms: 20 + 23 + 4k = 91 Combine like terms: 20 + 23 = 43 43 + 4k = 91 Solving 43 + 4k = 91 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 4k = 91 + -43 Combine like terms: 43 + -43 = 0 0 + 4k = 91 + -43 4k = 91 + -43 Combine like terms: 91 + -43 = 48 4k = 48 Divide each side by '4'. k = 12 Simplifying k = 12
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