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Simplifying 9(f + -1) + 3 = 3(f + 2) Reorder the terms: 9(-1 + f) + 3 = 3(f + 2) (-1 * 9 + f * 9) + 3 = 3(f + 2) (-9 + 9f) + 3 = 3(f + 2) Reorder the terms: -9 + 3 + 9f = 3(f + 2) Combine like terms: -9 + 3 = -6 -6 + 9f = 3(f + 2) Reorder the terms: -6 + 9f = 3(2 + f) -6 + 9f = (2 * 3 + f * 3) -6 + 9f = (6 + 3f) Solving -6 + 9f = 6 + 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. -6 + 9f + -3f = 6 + 3f + -3f Combine like terms: 9f + -3f = 6f -6 + 6f = 6 + 3f + -3f Combine like terms: 3f + -3f = 0 -6 + 6f = 6 + 0 -6 + 6f = 6 Add '6' to each side of the equation. -6 + 6 + 6f = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 6f = 6 + 6 6f = 6 + 6 Combine like terms: 6 + 6 = 12 6f = 12 Divide each side by '6'. f = 2 Simplifying f = 2
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