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Simplifying 7(1.2 + -1k) = 14k (1.2 * 7 + -1k * 7) = 14k (8.4 + -7k) = 14k Solving 8.4 + -7k = 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. 8.4 + -7k + -14k = 14k + -14k Combine like terms: -7k + -14k = -21k 8.4 + -21k = 14k + -14k Combine like terms: 14k + -14k = 0 8.4 + -21k = 0 Add '-8.4' to each side of the equation. 8.4 + -8.4 + -21k = 0 + -8.4 Combine like terms: 8.4 + -8.4 = 0.0 0.0 + -21k = 0 + -8.4 -21k = 0 + -8.4 Combine like terms: 0 + -8.4 = -8.4 -21k = -8.4 Divide each side by '-21'. k = 0.4 Simplifying k = 0.4
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