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Simplifying 8k + 7 + -2 = -31 Reorder the terms: 7 + -2 + 8k = -31 Combine like terms: 7 + -2 = 5 5 + 8k = -31 Solving 5 + 8k = -31 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 + 8k = -31 + -5 Combine like terms: 5 + -5 = 0 0 + 8k = -31 + -5 8k = -31 + -5 Combine like terms: -31 + -5 = -36 8k = -36 Divide each side by '8'. k = -4.5 Simplifying k = -4.5
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