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Simplifying 5f + 9 = 2(2f + 5) Reorder the terms: 9 + 5f = 2(2f + 5) Reorder the terms: 9 + 5f = 2(5 + 2f) 9 + 5f = (5 * 2 + 2f * 2) 9 + 5f = (10 + 4f) Solving 9 + 5f = 10 + 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. 9 + 5f + -4f = 10 + 4f + -4f Combine like terms: 5f + -4f = 1f 9 + 1f = 10 + 4f + -4f Combine like terms: 4f + -4f = 0 9 + 1f = 10 + 0 9 + 1f = 10 Add '-9' to each side of the equation. 9 + -9 + 1f = 10 + -9 Combine like terms: 9 + -9 = 0 0 + 1f = 10 + -9 1f = 10 + -9 Combine like terms: 10 + -9 = 1 1f = 1 Divide each side by '1'. f = 1 Simplifying f = 1
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