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Simplifying 5f + 4(f + -1) = 2 + 5(2 + f) Reorder the terms: 5f + 4(-1 + f) = 2 + 5(2 + f) 5f + (-1 * 4 + f * 4) = 2 + 5(2 + f) 5f + (-4 + 4f) = 2 + 5(2 + f) Reorder the terms: -4 + 5f + 4f = 2 + 5(2 + f) Combine like terms: 5f + 4f = 9f -4 + 9f = 2 + 5(2 + f) -4 + 9f = 2 + (2 * 5 + f * 5) -4 + 9f = 2 + (10 + 5f) Combine like terms: 2 + 10 = 12 -4 + 9f = 12 + 5f Solving -4 + 9f = 12 + 5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-5f' to each side of the equation. -4 + 9f + -5f = 12 + 5f + -5f Combine like terms: 9f + -5f = 4f -4 + 4f = 12 + 5f + -5f Combine like terms: 5f + -5f = 0 -4 + 4f = 12 + 0 -4 + 4f = 12 Add '4' to each side of the equation. -4 + 4 + 4f = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 4f = 12 + 4 4f = 12 + 4 Combine like terms: 12 + 4 = 16 4f = 16 Divide each side by '4'. f = 4 Simplifying f = 4
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