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Simplifying 5k + -2(4 + -3k) = 14 5k + (4 * -2 + -3k * -2) = 14 5k + (-8 + 6k) = 14 Reorder the terms: -8 + 5k + 6k = 14 Combine like terms: 5k + 6k = 11k -8 + 11k = 14 Solving -8 + 11k = 14 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 + 11k = 14 + 8 Combine like terms: -8 + 8 = 0 0 + 11k = 14 + 8 11k = 14 + 8 Combine like terms: 14 + 8 = 22 11k = 22 Divide each side by '11'. k = 2 Simplifying k = 2
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