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Simplifying 0.5(k + -14) = 11 Reorder the terms: 0.5(-14 + k) = 11 (-14 * 0.5 + k * 0.5) = 11 (-7 + 0.5k) = 11 Solving -7 + 0.5k = 11 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 + 0.5k = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 0.5k = 11 + 7 0.5k = 11 + 7 Combine like terms: 11 + 7 = 18 0.5k = 18 Divide each side by '0.5'. k = 36 Simplifying k = 36
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