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Simplifying 9f + (-2f + 8) = 3f + (5 + -6f) + -1(-5f + -18) Reorder the terms: 9f + (8 + -2f) = 3f + (5 + -6f) + -1(-5f + -18) Remove parenthesis around (8 + -2f) 9f + 8 + -2f = 3f + (5 + -6f) + -1(-5f + -18) Reorder the terms: 8 + 9f + -2f = 3f + (5 + -6f) + -1(-5f + -18) Combine like terms: 9f + -2f = 7f 8 + 7f = 3f + (5 + -6f) + -1(-5f + -18) Remove parenthesis around (5 + -6f) 8 + 7f = 3f + 5 + -6f + -1(-5f + -18) Reorder the terms: 8 + 7f = 3f + 5 + -6f + -1(-18 + -5f) 8 + 7f = 3f + 5 + -6f + (-18 * -1 + -5f * -1) 8 + 7f = 3f + 5 + -6f + (18 + 5f) Reorder the terms: 8 + 7f = 5 + 18 + 3f + -6f + 5f Combine like terms: 5 + 18 = 23 8 + 7f = 23 + 3f + -6f + 5f Combine like terms: 3f + -6f = -3f 8 + 7f = 23 + -3f + 5f Combine like terms: -3f + 5f = 2f 8 + 7f = 23 + 2f Solving 8 + 7f = 23 + 2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2f' to each side of the equation. 8 + 7f + -2f = 23 + 2f + -2f Combine like terms: 7f + -2f = 5f 8 + 5f = 23 + 2f + -2f Combine like terms: 2f + -2f = 0 8 + 5f = 23 + 0 8 + 5f = 23 Add '-8' to each side of the equation. 8 + -8 + 5f = 23 + -8 Combine like terms: 8 + -8 = 0 0 + 5f = 23 + -8 5f = 23 + -8 Combine like terms: 23 + -8 = 15 5f = 15 Divide each side by '5'. f = 3 Simplifying f = 3
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