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Simplifying 0.75k + 16 = 2 + -0.125 Reorder the terms: 16 + 0.75k = 2 + -0.125 Combine like terms: 2 + -0.125 = 1.875 16 + 0.75k = 1.875 Solving 16 + 0.75k = 1.875 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 0.75k = 1.875 + -16 Combine like terms: 16 + -16 = 0 0 + 0.75k = 1.875 + -16 0.75k = 1.875 + -16 Combine like terms: 1.875 + -16 = -14.125 0.75k = -14.125 Divide each side by '0.75'. k = -18.83333333 Simplifying k = -18.83333333
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