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Simplifying 5(k + -2) + -8k = 24 Reorder the terms: 5(-2 + k) + -8k = 24 (-2 * 5 + k * 5) + -8k = 24 (-10 + 5k) + -8k = 24 Combine like terms: 5k + -8k = -3k -10 + -3k = 24 Solving -10 + -3k = 24 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3k = 24 + 10 Combine like terms: -10 + 10 = 0 0 + -3k = 24 + 10 -3k = 24 + 10 Combine like terms: 24 + 10 = 34 -3k = 34 Divide each side by '-3'. k = -11.33333333 Simplifying k = -11.33333333
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