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Simplifying 3f + 2(f + 11) + 4(2f) = 204 Reorder the terms: 3f + 2(11 + f) + 4(2f) = 204 3f + (11 * 2 + f * 2) + 4(2f) = 204 3f + (22 + 2f) + 4(2f) = 204 Remove parenthesis around (2f) 3f + 22 + 2f + 4 * 2f = 204 Multiply 4 * 2 3f + 22 + 2f + 8f = 204 Reorder the terms: 22 + 3f + 2f + 8f = 204 Combine like terms: 3f + 2f = 5f 22 + 5f + 8f = 204 Combine like terms: 5f + 8f = 13f 22 + 13f = 204 Solving 22 + 13f = 204 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 13f = 204 + -22 Combine like terms: 22 + -22 = 0 0 + 13f = 204 + -22 13f = 204 + -22 Combine like terms: 204 + -22 = 182 13f = 182 Divide each side by '13'. f = 14 Simplifying f = 14
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