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Simplifying 5k + -1(3k + 2) = 14 Reorder the terms: 5k + -1(2 + 3k) = 14 5k + (2 * -1 + 3k * -1) = 14 5k + (-2 + -3k) = 14 Reorder the terms: -2 + 5k + -3k = 14 Combine like terms: 5k + -3k = 2k -2 + 2k = 14 Solving -2 + 2k = 14 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2k = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 2k = 14 + 2 2k = 14 + 2 Combine like terms: 14 + 2 = 16 2k = 16 Divide each side by '2'. k = 8 Simplifying k = 8
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