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Simplifying 4(k + 2) = 3(1 + k) Reorder the terms: 4(2 + k) = 3(1 + k) (2 * 4 + k * 4) = 3(1 + k) (8 + 4k) = 3(1 + k) 8 + 4k = (1 * 3 + k * 3) 8 + 4k = (3 + 3k) Solving 8 + 4k = 3 + 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. 8 + 4k + -3k = 3 + 3k + -3k Combine like terms: 4k + -3k = 1k 8 + 1k = 3 + 3k + -3k Combine like terms: 3k + -3k = 0 8 + 1k = 3 + 0 8 + 1k = 3 Add '-8' to each side of the equation. 8 + -8 + 1k = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 1k = 3 + -8 1k = 3 + -8 Combine like terms: 3 + -8 = -5 1k = -5 Divide each side by '1'. k = -5 Simplifying k = -5
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