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Simplifying 6k + -2(2k + 5) = 2 Reorder the terms: 6k + -2(5 + 2k) = 2 6k + (5 * -2 + 2k * -2) = 2 6k + (-10 + -4k) = 2 Reorder the terms: -10 + 6k + -4k = 2 Combine like terms: 6k + -4k = 2k -10 + 2k = 2 Solving -10 + 2k = 2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 2k = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 2k = 2 + 10 2k = 2 + 10 Combine like terms: 2 + 10 = 12 2k = 12 Divide each side by '2'. k = 6 Simplifying k = 6
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