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Simplifying 6f + 43 = 21f + -92 Reorder the terms: 43 + 6f = 21f + -92 Reorder the terms: 43 + 6f = -92 + 21f Solving 43 + 6f = -92 + 21f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-21f' to each side of the equation. 43 + 6f + -21f = -92 + 21f + -21f Combine like terms: 6f + -21f = -15f 43 + -15f = -92 + 21f + -21f Combine like terms: 21f + -21f = 0 43 + -15f = -92 + 0 43 + -15f = -92 Add '-43' to each side of the equation. 43 + -43 + -15f = -92 + -43 Combine like terms: 43 + -43 = 0 0 + -15f = -92 + -43 -15f = -92 + -43 Combine like terms: -92 + -43 = -135 -15f = -135 Divide each side by '-15'. f = 9 Simplifying f = 9
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