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Simplifying k = 5.4(k + 2) + -7 Reorder the terms: k = 5.4(2 + k) + -7 k = (2 * 5.4 + k * 5.4) + -7 k = (10.8 + 5.4k) + -7 Reorder the terms: k = 10.8 + -7 + 5.4k Combine like terms: 10.8 + -7 = 3.8 k = 3.8 + 5.4k Solving k = 3.8 + 5.4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5.4k' to each side of the equation. k + -5.4k = 3.8 + 5.4k + -5.4k Combine like terms: k + -5.4k = -4.4k -4.4k = 3.8 + 5.4k + -5.4k Combine like terms: 5.4k + -5.4k = 0.0 -4.4k = 3.8 + 0.0 -4.4k = 3.8 Divide each side by '-4.4'. k = -0.8636363636 Simplifying k = -0.8636363636
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