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Simplifying 19 + 1k = 4(k + 4) Reorder the terms: 19 + 1k = 4(4 + k) 19 + 1k = (4 * 4 + k * 4) 19 + 1k = (16 + 4k) Solving 19 + 1k = 16 + 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. 19 + 1k + -4k = 16 + 4k + -4k Combine like terms: 1k + -4k = -3k 19 + -3k = 16 + 4k + -4k Combine like terms: 4k + -4k = 0 19 + -3k = 16 + 0 19 + -3k = 16 Add '-19' to each side of the equation. 19 + -19 + -3k = 16 + -19 Combine like terms: 19 + -19 = 0 0 + -3k = 16 + -19 -3k = 16 + -19 Combine like terms: 16 + -19 = -3 -3k = -3 Divide each side by '-3'. k = 1 Simplifying k = 1
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