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Simplifying 8(f + 2) = 4(f + 6) Reorder the terms: 8(2 + f) = 4(f + 6) (2 * 8 + f * 8) = 4(f + 6) (16 + 8f) = 4(f + 6) Reorder the terms: 16 + 8f = 4(6 + f) 16 + 8f = (6 * 4 + f * 4) 16 + 8f = (24 + 4f) Solving 16 + 8f = 24 + 4f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-4f' to each side of the equation. 16 + 8f + -4f = 24 + 4f + -4f Combine like terms: 8f + -4f = 4f 16 + 4f = 24 + 4f + -4f Combine like terms: 4f + -4f = 0 16 + 4f = 24 + 0 16 + 4f = 24 Add '-16' to each side of the equation. 16 + -16 + 4f = 24 + -16 Combine like terms: 16 + -16 = 0 0 + 4f = 24 + -16 4f = 24 + -16 Combine like terms: 24 + -16 = 8 4f = 8 Divide each side by '4'. f = 2 Simplifying f = 2
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