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Simplifying 5(5 + 8k) = 4k + -11 (5 * 5 + 8k * 5) = 4k + -11 (25 + 40k) = 4k + -11 Reorder the terms: 25 + 40k = -11 + 4k Solving 25 + 40k = -11 + 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. 25 + 40k + -4k = -11 + 4k + -4k Combine like terms: 40k + -4k = 36k 25 + 36k = -11 + 4k + -4k Combine like terms: 4k + -4k = 0 25 + 36k = -11 + 0 25 + 36k = -11 Add '-25' to each side of the equation. 25 + -25 + 36k = -11 + -25 Combine like terms: 25 + -25 = 0 0 + 36k = -11 + -25 36k = -11 + -25 Combine like terms: -11 + -25 = -36 36k = -36 Divide each side by '36'. k = -1 Simplifying k = -1
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