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Simplifying 23 = f(17) + f(22) + f(21) + f(20) + f(15) + f(16) Reorder the terms for easier multiplication: 23 = 17f + f(22) + f(21) + f(20) + f(15) + f(16) Reorder the terms for easier multiplication: 23 = 17f + 22f + f(21) + f(20) + f(15) + f(16) Reorder the terms for easier multiplication: 23 = 17f + 22f + 21f + f(20) + f(15) + f(16) Reorder the terms for easier multiplication: 23 = 17f + 22f + 21f + 20f + f(15) + f(16) Reorder the terms for easier multiplication: 23 = 17f + 22f + 21f + 20f + 15f + f(16) Reorder the terms for easier multiplication: 23 = 17f + 22f + 21f + 20f + 15f + 16f Combine like terms: 17f + 22f = 39f 23 = 39f + 21f + 20f + 15f + 16f Combine like terms: 39f + 21f = 60f 23 = 60f + 20f + 15f + 16f Combine like terms: 60f + 20f = 80f 23 = 80f + 15f + 16f Combine like terms: 80f + 15f = 95f 23 = 95f + 16f Combine like terms: 95f + 16f = 111f 23 = 111f Solving 23 = 111f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-111f' to each side of the equation. 23 + -111f = 111f + -111f Combine like terms: 111f + -111f = 0 23 + -111f = 0 Add '-23' to each side of the equation. 23 + -23 + -111f = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -111f = 0 + -23 -111f = 0 + -23 Combine like terms: 0 + -23 = -23 -111f = -23 Divide each side by '-111'. f = 0.2072072072 Simplifying f = 0.2072072072
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