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Simplifying 5(k + -2) + -8k = 0 Reorder the terms: 5(-2 + k) + -8k = 0 (-2 * 5 + k * 5) + -8k = 0 (-10 + 5k) + -8k = 0 Combine like terms: 5k + -8k = -3k -10 + -3k = 0 Solving -10 + -3k = 0 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 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3k = 0 + 10 -3k = 0 + 10 Combine like terms: 0 + 10 = 10 -3k = 10 Divide each side by '-3'. k = -3.333333333 Simplifying k = -3.333333333
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