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Simplifying 5(f + 20) + 20 = 12(f + -5) + f Reorder the terms: 5(20 + f) + 20 = 12(f + -5) + f (20 * 5 + f * 5) + 20 = 12(f + -5) + f (100 + 5f) + 20 = 12(f + -5) + f Reorder the terms: 100 + 20 + 5f = 12(f + -5) + f Combine like terms: 100 + 20 = 120 120 + 5f = 12(f + -5) + f Reorder the terms: 120 + 5f = 12(-5 + f) + f 120 + 5f = (-5 * 12 + f * 12) + f 120 + 5f = (-60 + 12f) + f Combine like terms: 12f + f = 13f 120 + 5f = -60 + 13f Solving 120 + 5f = -60 + 13f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-13f' to each side of the equation. 120 + 5f + -13f = -60 + 13f + -13f Combine like terms: 5f + -13f = -8f 120 + -8f = -60 + 13f + -13f Combine like terms: 13f + -13f = 0 120 + -8f = -60 + 0 120 + -8f = -60 Add '-120' to each side of the equation. 120 + -120 + -8f = -60 + -120 Combine like terms: 120 + -120 = 0 0 + -8f = -60 + -120 -8f = -60 + -120 Combine like terms: -60 + -120 = -180 -8f = -180 Divide each side by '-8'. f = 22.5 Simplifying f = 22.5
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