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Simplifying 4 = 4(k + 12) Reorder the terms: 4 = 4(12 + k) 4 = (12 * 4 + k * 4) 4 = (48 + 4k) Solving 4 = 48 + 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 = 48 + 4k + -4k Combine like terms: 4k + -4k = 0 4 + -4k = 48 + 0 4 + -4k = 48 Add '-4' to each side of the equation. 4 + -4 + -4k = 48 + -4 Combine like terms: 4 + -4 = 0 0 + -4k = 48 + -4 -4k = 48 + -4 Combine like terms: 48 + -4 = 44 -4k = 44 Divide each side by '-4'. k = -11 Simplifying k = -11
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