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Simplifying 3f + -8 = 10f + 9 + -8f Reorder the terms: -8 + 3f = 10f + 9 + -8f Reorder the terms: -8 + 3f = 9 + 10f + -8f Combine like terms: 10f + -8f = 2f -8 + 3f = 9 + 2f Solving -8 + 3f = 9 + 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 + 3f + -2f = 9 + 2f + -2f Combine like terms: 3f + -2f = 1f -8 + 1f = 9 + 2f + -2f Combine like terms: 2f + -2f = 0 -8 + 1f = 9 + 0 -8 + 1f = 9 Add '8' to each side of the equation. -8 + 8 + 1f = 9 + 8 Combine like terms: -8 + 8 = 0 0 + 1f = 9 + 8 1f = 9 + 8 Combine like terms: 9 + 8 = 17 1f = 17 Divide each side by '1'. f = 17 Simplifying f = 17
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