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Simplifying 2(k + -11) + 3k = 18 Reorder the terms: 2(-11 + k) + 3k = 18 (-11 * 2 + k * 2) + 3k = 18 (-22 + 2k) + 3k = 18 Combine like terms: 2k + 3k = 5k -22 + 5k = 18 Solving -22 + 5k = 18 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 5k = 18 + 22 Combine like terms: -22 + 22 = 0 0 + 5k = 18 + 22 5k = 18 + 22 Combine like terms: 18 + 22 = 40 5k = 40 Divide each side by '5'. k = 8 Simplifying k = 8
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