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Simplifying 0.6(25k + -7.5x) + 9.5 = 20.0 (25k * 0.6 + -7.5x * 0.6) + 9.5 = 20.0 (15k + -4.5x) + 9.5 = 20.0 Reorder the terms: 9.5 + 15k + -4.5x = 20.0 Solving 9.5 + 15k + -4.5x = 20.0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9.5' to each side of the equation. 9.5 + 15k + -9.5 + -4.5x = 20.0 + -9.5 Reorder the terms: 9.5 + -9.5 + 15k + -4.5x = 20.0 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + 15k + -4.5x = 20.0 + -9.5 15k + -4.5x = 20.0 + -9.5 Combine like terms: 20.0 + -9.5 = 10.5 15k + -4.5x = 10.5 Add '4.5x' to each side of the equation. 15k + -4.5x + 4.5x = 10.5 + 4.5x Combine like terms: -4.5x + 4.5x = 0.0 15k + 0.0 = 10.5 + 4.5x 15k = 10.5 + 4.5x Divide each side by '15'. k = 0.7 + 0.3x Simplifying k = 0.7 + 0.3x
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