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Simplifying 3.1(7 + -1k) = 9 (7 * 3.1 + -1k * 3.1) = 9 (21.7 + -3.1k) = 9 Solving 21.7 + -3.1k = 9 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21.7' to each side of the equation. 21.7 + -21.7 + -3.1k = 9 + -21.7 Combine like terms: 21.7 + -21.7 = 0.0 0.0 + -3.1k = 9 + -21.7 -3.1k = 9 + -21.7 Combine like terms: 9 + -21.7 = -12.7 -3.1k = -12.7 Divide each side by '-3.1'. k = 4.096774194 Simplifying k = 4.096774194
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