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Simplifying 2k + 5(k + -8) = 2 Reorder the terms: 2k + 5(-8 + k) = 2 2k + (-8 * 5 + k * 5) = 2 2k + (-40 + 5k) = 2 Reorder the terms: -40 + 2k + 5k = 2 Combine like terms: 2k + 5k = 7k -40 + 7k = 2 Solving -40 + 7k = 2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 7k = 2 + 40 Combine like terms: -40 + 40 = 0 0 + 7k = 2 + 40 7k = 2 + 40 Combine like terms: 2 + 40 = 42 7k = 42 Divide each side by '7'. k = 6 Simplifying k = 6
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