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Simplifying (6k + 2)(4) = 0 Reorder the terms: (2 + 6k)(4) = 0 Reorder the terms for easier multiplication: 4(2 + 6k) = 0 (2 * 4 + 6k * 4) = 0 (8 + 24k) = 0 Solving 8 + 24k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 24k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 24k = 0 + -8 24k = 0 + -8 Combine like terms: 0 + -8 = -8 24k = -8 Divide each side by '24'. k = -0.3333333333 Simplifying k = -0.3333333333
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