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Simplifying 3k + 6 = 4(k + 2) Reorder the terms: 6 + 3k = 4(k + 2) Reorder the terms: 6 + 3k = 4(2 + k) 6 + 3k = (2 * 4 + k * 4) 6 + 3k = (8 + 4k) Solving 6 + 3k = 8 + 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. 6 + 3k + -4k = 8 + 4k + -4k Combine like terms: 3k + -4k = -1k 6 + -1k = 8 + 4k + -4k Combine like terms: 4k + -4k = 0 6 + -1k = 8 + 0 6 + -1k = 8 Add '-6' to each side of the equation. 6 + -6 + -1k = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -1k = 8 + -6 -1k = 8 + -6 Combine like terms: 8 + -6 = 2 -1k = 2 Divide each side by '-1'. k = -2 Simplifying k = -2
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