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Simplifying 3.2x + -2k + 5k = 10 Reorder the terms: -2k + 5k + 3.2x = 10 Combine like terms: -2k + 5k = 3k 3k + 3.2x = 10 Solving 3k + 3.2x = 10 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3.2x' to each side of the equation. 3k + 3.2x + -3.2x = 10 + -3.2x Combine like terms: 3.2x + -3.2x = 0.0 3k + 0.0 = 10 + -3.2x 3k = 10 + -3.2x Divide each side by '3'. k = 3.333333333 + -1.066666667x Simplifying k = 3.333333333 + -1.066666667x
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