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Simplifying -3f + -8 + 7f = 34 + 9f + -2 Reorder the terms: -8 + -3f + 7f = 34 + 9f + -2 Combine like terms: -3f + 7f = 4f -8 + 4f = 34 + 9f + -2 Reorder the terms: -8 + 4f = 34 + -2 + 9f Combine like terms: 34 + -2 = 32 -8 + 4f = 32 + 9f Solving -8 + 4f = 32 + 9f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-9f' to each side of the equation. -8 + 4f + -9f = 32 + 9f + -9f Combine like terms: 4f + -9f = -5f -8 + -5f = 32 + 9f + -9f Combine like terms: 9f + -9f = 0 -8 + -5f = 32 + 0 -8 + -5f = 32 Add '8' to each side of the equation. -8 + 8 + -5f = 32 + 8 Combine like terms: -8 + 8 = 0 0 + -5f = 32 + 8 -5f = 32 + 8 Combine like terms: 32 + 8 = 40 -5f = 40 Divide each side by '-5'. f = -8 Simplifying f = -8
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