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Simplifying -51k + 59k + 47 = -81 Reorder the terms: 47 + -51k + 59k = -81 Combine like terms: -51k + 59k = 8k 47 + 8k = -81 Solving 47 + 8k = -81 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 8k = -81 + -47 Combine like terms: 47 + -47 = 0 0 + 8k = -81 + -47 8k = -81 + -47 Combine like terms: -81 + -47 = -128 8k = -128 Divide each side by '8'. k = -16 Simplifying k = -16
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