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Simplifying 16 = 0.75k + 1 Reorder the terms: 16 = 1 + 0.75k Solving 16 = 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. 16 + -0.75k = 1 + 0.75k + -0.75k Combine like terms: 0.75k + -0.75k = 0.00 16 + -0.75k = 1 + 0.00 16 + -0.75k = 1 Add '-16' to each side of the equation. 16 + -16 + -0.75k = 1 + -16 Combine like terms: 16 + -16 = 0 0 + -0.75k = 1 + -16 -0.75k = 1 + -16 Combine like terms: 1 + -16 = -15 -0.75k = -15 Divide each side by '-0.75'. k = 20 Simplifying k = 20
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