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Simplifying -16 = 4(k + 4) Reorder the terms: -16 = 4(4 + k) -16 = (4 * 4 + k * 4) -16 = (16 + 4k) Solving -16 = 16 + 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. -16 + -4k = 16 + 4k + -4k Combine like terms: 4k + -4k = 0 -16 + -4k = 16 + 0 -16 + -4k = 16 Add '16' to each side of the equation. -16 + 16 + -4k = 16 + 16 Combine like terms: -16 + 16 = 0 0 + -4k = 16 + 16 -4k = 16 + 16 Combine like terms: 16 + 16 = 32 -4k = 32 Divide each side by '-4'. k = -8 Simplifying k = -8
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