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Simplifying 3k + 5 + -8k = -35 Reorder the terms: 5 + 3k + -8k = -35 Combine like terms: 3k + -8k = -5k 5 + -5k = -35 Solving 5 + -5k = -35 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -5k = -35 + -5 Combine like terms: 5 + -5 = 0 0 + -5k = -35 + -5 -5k = -35 + -5 Combine like terms: -35 + -5 = -40 -5k = -40 Divide each side by '-5'. k = 8 Simplifying k = 8
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