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Simplifying 3(2k + -5) = k Reorder the terms: 3(-5 + 2k) = k (-5 * 3 + 2k * 3) = k (-15 + 6k) = k Solving -15 + 6k = k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -15 + 6k + -1k = k + -1k Combine like terms: 6k + -1k = 5k -15 + 5k = k + -1k Combine like terms: k + -1k = 0 -15 + 5k = 0 Add '15' to each side of the equation. -15 + 15 + 5k = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 5k = 0 + 15 5k = 0 + 15 Combine like terms: 0 + 15 = 15 5k = 15 Divide each side by '5'. k = 3 Simplifying k = 3
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