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Simplifying 3 + -2(5 + -1k) = 6 3 + (5 * -2 + -1k * -2) = 6 3 + (-10 + 2k) = 6 Combine like terms: 3 + -10 = -7 -7 + 2k = 6 Solving -7 + 2k = 6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2k = 6 + 7 Combine like terms: -7 + 7 = 0 0 + 2k = 6 + 7 2k = 6 + 7 Combine like terms: 6 + 7 = 13 2k = 13 Divide each side by '2'. k = 6.5 Simplifying k = 6.5
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