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Simplifying k = 1.4(7 + -1k) k = (7 * 1.4 + -1k * 1.4) k = (9.8 + -1.4k) Solving k = 9.8 + -1.4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1.4k' to each side of the equation. k + 1.4k = 9.8 + -1.4k + 1.4k Combine like terms: k + 1.4k = 2.4k 2.4k = 9.8 + -1.4k + 1.4k Combine like terms: -1.4k + 1.4k = 0.0 2.4k = 9.8 + 0.0 2.4k = 9.8 Divide each side by '2.4'. k = 4.083333333 Simplifying k = 4.083333333
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