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Simplifying 0.6(25k + -7) + 9.5 = 20.0 Reorder the terms: 0.6(-7 + 25k) + 9.5 = 20.0 (-7 * 0.6 + 25k * 0.6) + 9.5 = 20.0 (-4.2 + 15k) + 9.5 = 20.0 Reorder the terms: -4.2 + 9.5 + 15k = 20.0 Combine like terms: -4.2 + 9.5 = 5.3 5.3 + 15k = 20.0 Solving 5.3 + 15k = 20.0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5.3' to each side of the equation. 5.3 + -5.3 + 15k = 20.0 + -5.3 Combine like terms: 5.3 + -5.3 = 0.0 0.0 + 15k = 20.0 + -5.3 15k = 20.0 + -5.3 Combine like terms: 20.0 + -5.3 = 14.7 15k = 14.7 Divide each side by '15'. k = 0.98 Simplifying k = 0.98
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