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Simplifying 2 + -0.75(k) = 0.125(k) + 9 Reorder the terms: 2 + -0.75k = 9 + 0.125k Solving 2 + -0.75k = 9 + 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. 2 + -0.75k + -0.125k = 9 + 0.125k + -0.125k Combine like terms: -0.75k + -0.125k = -0.875k 2 + -0.875k = 9 + 0.125k + -0.125k Combine like terms: 0.125k + -0.125k = 0.000 2 + -0.875k = 9 + 0.000 2 + -0.875k = 9 Add '-2' to each side of the equation. 2 + -2 + -0.875k = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -0.875k = 9 + -2 -0.875k = 9 + -2 Combine like terms: 9 + -2 = 7 -0.875k = 7 Divide each side by '-0.875'. k = -8 Simplifying k = -8
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