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Simplifying -4k + 3(2k + -5) = 31 Reorder the terms: -4k + 3(-5 + 2k) = 31 -4k + (-5 * 3 + 2k * 3) = 31 -4k + (-15 + 6k) = 31 Reorder the terms: -15 + -4k + 6k = 31 Combine like terms: -4k + 6k = 2k -15 + 2k = 31 Solving -15 + 2k = 31 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 2k = 31 + 15 Combine like terms: -15 + 15 = 0 0 + 2k = 31 + 15 2k = 31 + 15 Combine like terms: 31 + 15 = 46 2k = 46 Divide each side by '2'. k = 23 Simplifying k = 23
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