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Simplifying 3 = 4k + -3(k + 2) Reorder the terms: 3 = 4k + -3(2 + k) 3 = 4k + (2 * -3 + k * -3) 3 = 4k + (-6 + -3k) Reorder the terms: 3 = -6 + 4k + -3k Combine like terms: 4k + -3k = 1k 3 = -6 + 1k Solving 3 = -6 + 1k 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. 3 + -1k = -6 + 1k + -1k Combine like terms: 1k + -1k = 0 3 + -1k = -6 + 0 3 + -1k = -6 Add '-3' to each side of the equation. 3 + -3 + -1k = -6 + -3 Combine like terms: 3 + -3 = 0 0 + -1k = -6 + -3 -1k = -6 + -3 Combine like terms: -6 + -3 = -9 -1k = -9 Divide each side by '-1'. k = 9 Simplifying k = 9
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