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Simplifying 3(4k + -2) = 16 + -32 Reorder the terms: 3(-2 + 4k) = 16 + -32 (-2 * 3 + 4k * 3) = 16 + -32 (-6 + 12k) = 16 + -32 Combine like terms: 16 + -32 = -16 -6 + 12k = -16 Solving -6 + 12k = -16 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 12k = -16 + 6 Combine like terms: -6 + 6 = 0 0 + 12k = -16 + 6 12k = -16 + 6 Combine like terms: -16 + 6 = -10 12k = -10 Divide each side by '12'. k = -0.8333333333 Simplifying k = -0.8333333333
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