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Simplifying 2f(4 + 2g) = 2(4f + 2g) (4 * 2f + 2g * 2f) = 2(4f + 2g) (8f + 4fg) = 2(4f + 2g) 8f + 4fg = (4f * 2 + 2g * 2) 8f + 4fg = (8f + 4g) Add '-8f' to each side of the equation. 8f + -8f + 4fg = 8f + -8f + 4g Combine like terms: 8f + -8f = 0 0 + 4fg = 8f + -8f + 4g 4fg = 8f + -8f + 4g Combine like terms: 8f + -8f = 0 4fg = 0 + 4g 4fg = 4g Solving 4fg = 4g Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by '4g'. f = 1 Simplifying f = 1
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