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Simplifying 3f + 8 = -32 + 5f Reorder the terms: 8 + 3f = -32 + 5f Solving 8 + 3f = -32 + 5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-5f' to each side of the equation. 8 + 3f + -5f = -32 + 5f + -5f Combine like terms: 3f + -5f = -2f 8 + -2f = -32 + 5f + -5f Combine like terms: 5f + -5f = 0 8 + -2f = -32 + 0 8 + -2f = -32 Add '-8' to each side of the equation. 8 + -8 + -2f = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -2f = -32 + -8 -2f = -32 + -8 Combine like terms: -32 + -8 = -40 -2f = -40 Divide each side by '-2'. f = 20 Simplifying f = 20
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