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Simplifying 5.2 + -9.4k = 1.6(-4q + 2) Reorder the terms: 5.2 + -9.4k = 1.6(2 + -4q) 5.2 + -9.4k = (2 * 1.6 + -4q * 1.6) 5.2 + -9.4k = (3.2 + -6.4q) Solving 5.2 + -9.4k = 3.2 + -6.4q Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5.2' to each side of the equation. 5.2 + -5.2 + -9.4k = 3.2 + -5.2 + -6.4q Combine like terms: 5.2 + -5.2 = 0.0 0.0 + -9.4k = 3.2 + -5.2 + -6.4q -9.4k = 3.2 + -5.2 + -6.4q Combine like terms: 3.2 + -5.2 = -2 -9.4k = -2 + -6.4q Divide each side by '-9.4'. k = 0.2127659574 + 0.6808510638q Simplifying k = 0.2127659574 + 0.6808510638q
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