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Simplifying 4[k + 1] = 16 Reorder the terms: 4[1 + k] = 16 [1 * 4 + k * 4] = 16 [4 + 4k] = 16 Solving 4 + 4k = 16 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 4k = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 4k = 16 + -4 4k = 16 + -4 Combine like terms: 16 + -4 = 12 4k = 12 Divide each side by '4'. k = 3 Simplifying k = 3
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