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Simplifying 9(f + 4) = 3f + 24 Reorder the terms: 9(4 + f) = 3f + 24 (4 * 9 + f * 9) = 3f + 24 (36 + 9f) = 3f + 24 Reorder the terms: 36 + 9f = 24 + 3f Solving 36 + 9f = 24 + 3f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3f' to each side of the equation. 36 + 9f + -3f = 24 + 3f + -3f Combine like terms: 9f + -3f = 6f 36 + 6f = 24 + 3f + -3f Combine like terms: 3f + -3f = 0 36 + 6f = 24 + 0 36 + 6f = 24 Add '-36' to each side of the equation. 36 + -36 + 6f = 24 + -36 Combine like terms: 36 + -36 = 0 0 + 6f = 24 + -36 6f = 24 + -36 Combine like terms: 24 + -36 = -12 6f = -12 Divide each side by '6'. f = -2 Simplifying f = -2
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