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Simplifying 25(4f + -3) = 0.05(10f + -9) Reorder the terms: 25(-3 + 4f) = 0.05(10f + -9) (-3 * 25 + 4f * 25) = 0.05(10f + -9) (-75 + 100f) = 0.05(10f + -9) Reorder the terms: -75 + 100f = 0.05(-9 + 10f) -75 + 100f = (-9 * 0.05 + 10f * 0.05) -75 + 100f = (-0.45 + 0.5f) Solving -75 + 100f = -0.45 + 0.5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-0.5f' to each side of the equation. -75 + 100f + -0.5f = -0.45 + 0.5f + -0.5f Combine like terms: 100f + -0.5f = 99.5f -75 + 99.5f = -0.45 + 0.5f + -0.5f Combine like terms: 0.5f + -0.5f = 0.0 -75 + 99.5f = -0.45 + 0.0 -75 + 99.5f = -0.45 Add '75' to each side of the equation. -75 + 75 + 99.5f = -0.45 + 75 Combine like terms: -75 + 75 = 0 0 + 99.5f = -0.45 + 75 99.5f = -0.45 + 75 Combine like terms: -0.45 + 75 = 74.55 99.5f = 74.55 Divide each side by '99.5'. f = 0.7492462312 Simplifying f = 0.7492462312
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