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Simplifying 40(f + 4) = 10(f + 6) Reorder the terms: 40(4 + f) = 10(f + 6) (4 * 40 + f * 40) = 10(f + 6) (160 + 40f) = 10(f + 6) Reorder the terms: 160 + 40f = 10(6 + f) 160 + 40f = (6 * 10 + f * 10) 160 + 40f = (60 + 10f) Solving 160 + 40f = 60 + 10f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-10f' to each side of the equation. 160 + 40f + -10f = 60 + 10f + -10f Combine like terms: 40f + -10f = 30f 160 + 30f = 60 + 10f + -10f Combine like terms: 10f + -10f = 0 160 + 30f = 60 + 0 160 + 30f = 60 Add '-160' to each side of the equation. 160 + -160 + 30f = 60 + -160 Combine like terms: 160 + -160 = 0 0 + 30f = 60 + -160 30f = 60 + -160 Combine like terms: 60 + -160 = -100 30f = -100 Divide each side by '30'. f = -3.333333333 Simplifying f = -3.333333333
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