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Simplifying 0.75(k + 2) = 9 Reorder the terms: 0.75(2 + k) = 9 (2 * 0.75 + k * 0.75) = 9 (1.5 + 0.75k) = 9 Solving 1.5 + 0.75k = 9 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.75k = 9 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.75k = 9 + -1.5 0.75k = 9 + -1.5 Combine like terms: 9 + -1.5 = 7.5 0.75k = 7.5 Divide each side by '0.75'. k = 10 Simplifying k = 10
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