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Simplifying 19 = 4(k + 1) + -1k Reorder the terms: 19 = 4(1 + k) + -1k 19 = (1 * 4 + k * 4) + -1k 19 = (4 + 4k) + -1k Combine like terms: 4k + -1k = 3k 19 = 4 + 3k Solving 19 = 4 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 19 + -3k = 4 + 3k + -3k Combine like terms: 3k + -3k = 0 19 + -3k = 4 + 0 19 + -3k = 4 Add '-19' to each side of the equation. 19 + -19 + -3k = 4 + -19 Combine like terms: 19 + -19 = 0 0 + -3k = 4 + -19 -3k = 4 + -19 Combine like terms: 4 + -19 = -15 -3k = -15 Divide each side by '-3'. k = 5 Simplifying k = 5
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