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Simplifying 5k + -2 + -8k = -34 Reorder the terms: -2 + 5k + -8k = -34 Combine like terms: 5k + -8k = -3k -2 + -3k = -34 Solving -2 + -3k = -34 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3k = -34 + 2 Combine like terms: -2 + 2 = 0 0 + -3k = -34 + 2 -3k = -34 + 2 Combine like terms: -34 + 2 = -32 -3k = -32 Divide each side by '-3'. k = 10.66666667 Simplifying k = 10.66666667
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