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Simplifying 7(f + 20) = 9f Reorder the terms: 7(20 + f) = 9f (20 * 7 + f * 7) = 9f (140 + 7f) = 9f Solving 140 + 7f = 9f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-9f' to each side of the equation. 140 + 7f + -9f = 9f + -9f Combine like terms: 7f + -9f = -2f 140 + -2f = 9f + -9f Combine like terms: 9f + -9f = 0 140 + -2f = 0 Add '-140' to each side of the equation. 140 + -140 + -2f = 0 + -140 Combine like terms: 140 + -140 = 0 0 + -2f = 0 + -140 -2f = 0 + -140 Combine like terms: 0 + -140 = -140 -2f = -140 Divide each side by '-2'. f = 70 Simplifying f = 70
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