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Simplifying 3y + 2f + -1f + 1 + -3y + 7 = 32 Reorder the terms: 1 + 7 + 2f + -1f + 3y + -3y = 32 Combine like terms: 1 + 7 = 8 8 + 2f + -1f + 3y + -3y = 32 Combine like terms: 2f + -1f = 1f 8 + 1f + 3y + -3y = 32 Combine like terms: 3y + -3y = 0 8 + 1f + 0 = 32 8 + 1f = 32 Solving 8 + 1f = 32 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1f = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 1f = 32 + -8 1f = 32 + -8 Combine like terms: 32 + -8 = 24 1f = 24 Divide each side by '1'. f = 24 Simplifying f = 24
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