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Simplifying 10(10f + 6) + 9(3f + 5) = 0 Reorder the terms: 10(6 + 10f) + 9(3f + 5) = 0 (6 * 10 + 10f * 10) + 9(3f + 5) = 0 (60 + 100f) + 9(3f + 5) = 0 Reorder the terms: 60 + 100f + 9(5 + 3f) = 0 60 + 100f + (5 * 9 + 3f * 9) = 0 60 + 100f + (45 + 27f) = 0 Reorder the terms: 60 + 45 + 100f + 27f = 0 Combine like terms: 60 + 45 = 105 105 + 100f + 27f = 0 Combine like terms: 100f + 27f = 127f 105 + 127f = 0 Solving 105 + 127f = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-105' to each side of the equation. 105 + -105 + 127f = 0 + -105 Combine like terms: 105 + -105 = 0 0 + 127f = 0 + -105 127f = 0 + -105 Combine like terms: 0 + -105 = -105 127f = -105 Divide each side by '127'. f = -0.8267716535 Simplifying f = -0.8267716535
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