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Simplifying 81 = 8k + -7 Reorder the terms: 81 = -7 + 8k Solving 81 = -7 + 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. 81 + -8k = -7 + 8k + -8k Combine like terms: 8k + -8k = 0 81 + -8k = -7 + 0 81 + -8k = -7 Add '-81' to each side of the equation. 81 + -81 + -8k = -7 + -81 Combine like terms: 81 + -81 = 0 0 + -8k = -7 + -81 -8k = -7 + -81 Combine like terms: -7 + -81 = -88 -8k = -88 Divide each side by '-8'. k = 11 Simplifying k = 11
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