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Simplifying -32 = 3 + 9(f + 5) Reorder the terms: -32 = 3 + 9(5 + f) -32 = 3 + (5 * 9 + f * 9) -32 = 3 + (45 + 9f) Combine like terms: 3 + 45 = 48 -32 = 48 + 9f Solving -32 = 48 + 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. -32 + -9f = 48 + 9f + -9f Combine like terms: 9f + -9f = 0 -32 + -9f = 48 + 0 -32 + -9f = 48 Add '32' to each side of the equation. -32 + 32 + -9f = 48 + 32 Combine like terms: -32 + 32 = 0 0 + -9f = 48 + 32 -9f = 48 + 32 Combine like terms: 48 + 32 = 80 -9f = 80 Divide each side by '-9'. f = -8.888888889 Simplifying f = -8.888888889
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