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Simplifying 3F + 2F + 45 = 65 + 4F Reorder the terms: 45 + 3F + 2F = 65 + 4F Combine like terms: 3F + 2F = 5F 45 + 5F = 65 + 4F Solving 45 + 5F = 65 + 4F Solving for variable 'F'. Move all terms containing F to the left, all other terms to the right. Add '-4F' to each side of the equation. 45 + 5F + -4F = 65 + 4F + -4F Combine like terms: 5F + -4F = 1F 45 + 1F = 65 + 4F + -4F Combine like terms: 4F + -4F = 0 45 + 1F = 65 + 0 45 + 1F = 65 Add '-45' to each side of the equation. 45 + -45 + 1F = 65 + -45 Combine like terms: 45 + -45 = 0 0 + 1F = 65 + -45 1F = 65 + -45 Combine like terms: 65 + -45 = 20 1F = 20 Divide each side by '1'. F = 20 Simplifying F = 20
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