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Simplifying 4(k + 1) = k + 10 Reorder the terms: 4(1 + k) = k + 10 (1 * 4 + k * 4) = k + 10 (4 + 4k) = k + 10 Reorder the terms: 4 + 4k = 10 + k Solving 4 + 4k = 10 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 4 + 4k + -1k = 10 + k + -1k Combine like terms: 4k + -1k = 3k 4 + 3k = 10 + k + -1k Combine like terms: k + -1k = 0 4 + 3k = 10 + 0 4 + 3k = 10 Add '-4' to each side of the equation. 4 + -4 + 3k = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 3k = 10 + -4 3k = 10 + -4 Combine like terms: 10 + -4 = 6 3k = 6 Divide each side by '3'. k = 2 Simplifying k = 2
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