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Simplifying 3f + 17 = 8f + 32 Reorder the terms: 17 + 3f = 8f + 32 Reorder the terms: 17 + 3f = 32 + 8f Solving 17 + 3f = 32 + 8f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-8f' to each side of the equation. 17 + 3f + -8f = 32 + 8f + -8f Combine like terms: 3f + -8f = -5f 17 + -5f = 32 + 8f + -8f Combine like terms: 8f + -8f = 0 17 + -5f = 32 + 0 17 + -5f = 32 Add '-17' to each side of the equation. 17 + -17 + -5f = 32 + -17 Combine like terms: 17 + -17 = 0 0 + -5f = 32 + -17 -5f = 32 + -17 Combine like terms: 32 + -17 = 15 -5f = 15 Divide each side by '-5'. f = -3 Simplifying f = -3
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