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Simplifying -31 = 8k + 1 Reorder the terms: -31 = 1 + 8k Solving -31 = 1 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -31 + -8k = 1 + 8k + -8k Combine like terms: 8k + -8k = 0 -31 + -8k = 1 + 0 -31 + -8k = 1 Add '31' to each side of the equation. -31 + 31 + -8k = 1 + 31 Combine like terms: -31 + 31 = 0 0 + -8k = 1 + 31 -8k = 1 + 31 Combine like terms: 1 + 31 = 32 -8k = 32 Divide each side by '-8'. k = -4 Simplifying k = -4
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