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Simplifying k + 19 = 3 + 5k Reorder the terms: 19 + k = 3 + 5k Solving 19 + k = 3 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 19 + k + -5k = 3 + 5k + -5k Combine like terms: k + -5k = -4k 19 + -4k = 3 + 5k + -5k Combine like terms: 5k + -5k = 0 19 + -4k = 3 + 0 19 + -4k = 3 Add '-19' to each side of the equation. 19 + -19 + -4k = 3 + -19 Combine like terms: 19 + -19 = 0 0 + -4k = 3 + -19 -4k = 3 + -19 Combine like terms: 3 + -19 = -16 -4k = -16 Divide each side by '-4'. k = 4 Simplifying k = 4
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