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Simplifying 4 = 4(k + 3) Reorder the terms: 4 = 4(3 + k) 4 = (3 * 4 + k * 4) 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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