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Simplifying 3f + 2(f + 20) + 17 = 97 Reorder the terms: 3f + 2(20 + f) + 17 = 97 3f + (20 * 2 + f * 2) + 17 = 97 3f + (40 + 2f) + 17 = 97 Reorder the terms: 40 + 17 + 3f + 2f = 97 Combine like terms: 40 + 17 = 57 57 + 3f + 2f = 97 Combine like terms: 3f + 2f = 5f 57 + 5f = 97 Solving 57 + 5f = 97 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + 5f = 97 + -57 Combine like terms: 57 + -57 = 0 0 + 5f = 97 + -57 5f = 97 + -57 Combine like terms: 97 + -57 = 40 5f = 40 Divide each side by '5'. f = 8 Simplifying f = 8
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