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Simplifying -16(k + 6) = 48 Reorder the terms: -16(6 + k) = 48 (6 * -16 + k * -16) = 48 (-96 + -16k) = 48 Solving -96 + -16k = 48 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '96' to each side of the equation. -96 + 96 + -16k = 48 + 96 Combine like terms: -96 + 96 = 0 0 + -16k = 48 + 96 -16k = 48 + 96 Combine like terms: 48 + 96 = 144 -16k = 144 Divide each side by '-16'. k = -9 Simplifying k = -9
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