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Simplifying 10(f + 4) = 8(f + 12) Reorder the terms: 10(4 + f) = 8(f + 12) (4 * 10 + f * 10) = 8(f + 12) (40 + 10f) = 8(f + 12) Reorder the terms: 40 + 10f = 8(12 + f) 40 + 10f = (12 * 8 + f * 8) 40 + 10f = (96 + 8f) Solving 40 + 10f = 96 + 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. 40 + 10f + -8f = 96 + 8f + -8f Combine like terms: 10f + -8f = 2f 40 + 2f = 96 + 8f + -8f Combine like terms: 8f + -8f = 0 40 + 2f = 96 + 0 40 + 2f = 96 Add '-40' to each side of the equation. 40 + -40 + 2f = 96 + -40 Combine like terms: 40 + -40 = 0 0 + 2f = 96 + -40 2f = 96 + -40 Combine like terms: 96 + -40 = 56 2f = 56 Divide each side by '2'. f = 28 Simplifying f = 28
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