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Simplifying 4 = 4(k + 2) + 4 Reorder the terms: 4 = 4(2 + k) + 4 4 = (2 * 4 + k * 4) + 4 4 = (8 + 4k) + 4 Reorder the terms: 4 = 8 + 4 + 4k Combine like terms: 8 + 4 = 12 4 = 12 + 4k Solving 4 = 12 + 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. 4 + -4k = 12 + 4k + -4k Combine like terms: 4k + -4k = 0 4 + -4k = 12 + 0 4 + -4k = 12 Add '-4' to each side of the equation. 4 + -4 + -4k = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -4k = 12 + -4 -4k = 12 + -4 Combine like terms: 12 + -4 = 8 -4k = 8 Divide each side by '-4'. k = -2 Simplifying k = -2
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