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Simplifying 3(f + 20) + 20 = 12(f + -5) + f Reorder the terms: 3(20 + f) + 20 = 12(f + -5) + f (20 * 3 + f * 3) + 20 = 12(f + -5) + f (60 + 3f) + 20 = 12(f + -5) + f Reorder the terms: 60 + 20 + 3f = 12(f + -5) + f Combine like terms: 60 + 20 = 80 80 + 3f = 12(f + -5) + f Reorder the terms: 80 + 3f = 12(-5 + f) + f 80 + 3f = (-5 * 12 + f * 12) + f 80 + 3f = (-60 + 12f) + f Combine like terms: 12f + f = 13f 80 + 3f = -60 + 13f Solving 80 + 3f = -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. 80 + 3f + -13f = -60 + 13f + -13f Combine like terms: 3f + -13f = -10f 80 + -10f = -60 + 13f + -13f Combine like terms: 13f + -13f = 0 80 + -10f = -60 + 0 80 + -10f = -60 Add '-80' to each side of the equation. 80 + -80 + -10f = -60 + -80 Combine like terms: 80 + -80 = 0 0 + -10f = -60 + -80 -10f = -60 + -80 Combine like terms: -60 + -80 = -140 -10f = -140 Divide each side by '-10'. f = 14 Simplifying f = 14
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