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Simplifying -12(k + 4) = 16 Reorder the terms: -12(4 + k) = 16 (4 * -12 + k * -12) = 16 (-48 + -12k) = 16 Solving -48 + -12k = 16 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -12k = 16 + 48 Combine like terms: -48 + 48 = 0 0 + -12k = 16 + 48 -12k = 16 + 48 Combine like terms: 16 + 48 = 64 -12k = 64 Divide each side by '-12'. k = -5.333333333 Simplifying k = -5.333333333
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