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Simplifying 13(k + 19) = 17k + 5 Reorder the terms: 13(19 + k) = 17k + 5 (19 * 13 + k * 13) = 17k + 5 (247 + 13k) = 17k + 5 Reorder the terms: 247 + 13k = 5 + 17k Solving 247 + 13k = 5 + 17k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17k' to each side of the equation. 247 + 13k + -17k = 5 + 17k + -17k Combine like terms: 13k + -17k = -4k 247 + -4k = 5 + 17k + -17k Combine like terms: 17k + -17k = 0 247 + -4k = 5 + 0 247 + -4k = 5 Add '-247' to each side of the equation. 247 + -247 + -4k = 5 + -247 Combine like terms: 247 + -247 = 0 0 + -4k = 5 + -247 -4k = 5 + -247 Combine like terms: 5 + -247 = -242 -4k = -242 Divide each side by '-4'. k = 60.5 Simplifying k = 60.5
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