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Simplifying -0.125k + 2 = 1 + -0.75k Reorder the terms: 2 + -0.125k = 1 + -0.75k Solving 2 + -0.125k = 1 + -0.75k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.75k' to each side of the equation. 2 + -0.125k + 0.75k = 1 + -0.75k + 0.75k Combine like terms: -0.125k + 0.75k = 0.625k 2 + 0.625k = 1 + -0.75k + 0.75k Combine like terms: -0.75k + 0.75k = 0.00 2 + 0.625k = 1 + 0.00 2 + 0.625k = 1 Add '-2' to each side of the equation. 2 + -2 + 0.625k = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 0.625k = 1 + -2 0.625k = 1 + -2 Combine like terms: 1 + -2 = -1 0.625k = -1 Divide each side by '0.625'. k = -1.6 Simplifying k = -1.6
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