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Simplifying 4 = 4(k + 3) + -2k Reorder the terms: 4 = 4(3 + k) + -2k 4 = (3 * 4 + k * 4) + -2k 4 = (12 + 4k) + -2k Combine like terms: 4k + -2k = 2k 4 = 12 + 2k Solving 4 = 12 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 4 + -2k = 12 + 2k + -2k Combine like terms: 2k + -2k = 0 4 + -2k = 12 + 0 4 + -2k = 12 Add '-4' to each side of the equation. 4 + -4 + -2k = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -2k = 12 + -4 -2k = 12 + -4 Combine like terms: 12 + -4 = 8 -2k = 8 Divide each side by '-2'. k = -4 Simplifying k = -4
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