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Simplifying 2f + 4(5 + f) = 8f 2f + (5 * 4 + f * 4) = 8f 2f + (20 + 4f) = 8f Reorder the terms: 20 + 2f + 4f = 8f Combine like terms: 2f + 4f = 6f 20 + 6f = 8f Solving 20 + 6f = 8f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-8f' to each side of the equation. 20 + 6f + -8f = 8f + -8f Combine like terms: 6f + -8f = -2f 20 + -2f = 8f + -8f Combine like terms: 8f + -8f = 0 20 + -2f = 0 Add '-20' to each side of the equation. 20 + -20 + -2f = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -2f = 0 + -20 -2f = 0 + -20 Combine like terms: 0 + -20 = -20 -2f = -20 Divide each side by '-2'. f = 10 Simplifying f = 10
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