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Simplifying 0.75k + 16 = 2 + -0.125k Reorder the terms: 16 + 0.75k = 2 + -0.125k Solving 16 + 0.75k = 2 + -0.125k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.125k' to each side of the equation. 16 + 0.75k + 0.125k = 2 + -0.125k + 0.125k Combine like terms: 0.75k + 0.125k = 0.875k 16 + 0.875k = 2 + -0.125k + 0.125k Combine like terms: -0.125k + 0.125k = 0.000 16 + 0.875k = 2 + 0.000 16 + 0.875k = 2 Add '-16' to each side of the equation. 16 + -16 + 0.875k = 2 + -16 Combine like terms: 16 + -16 = 0 0 + 0.875k = 2 + -16 0.875k = 2 + -16 Combine like terms: 2 + -16 = -14 0.875k = -14 Divide each side by '0.875'. k = -16 Simplifying k = -16
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