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Simplifying 6(f + 5) + 2(6f + 4) = 92 Reorder the terms: 6(5 + f) + 2(6f + 4) = 92 (5 * 6 + f * 6) + 2(6f + 4) = 92 (30 + 6f) + 2(6f + 4) = 92 Reorder the terms: 30 + 6f + 2(4 + 6f) = 92 30 + 6f + (4 * 2 + 6f * 2) = 92 30 + 6f + (8 + 12f) = 92 Reorder the terms: 30 + 8 + 6f + 12f = 92 Combine like terms: 30 + 8 = 38 38 + 6f + 12f = 92 Combine like terms: 6f + 12f = 18f 38 + 18f = 92 Solving 38 + 18f = 92 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 18f = 92 + -38 Combine like terms: 38 + -38 = 0 0 + 18f = 92 + -38 18f = 92 + -38 Combine like terms: 92 + -38 = 54 18f = 54 Divide each side by '18'. f = 3 Simplifying f = 3
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