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Simplifying 9(f + 2) = 3(f + -2) Reorder the terms: 9(2 + f) = 3(f + -2) (2 * 9 + f * 9) = 3(f + -2) (18 + 9f) = 3(f + -2) Reorder the terms: 18 + 9f = 3(-2 + f) 18 + 9f = (-2 * 3 + f * 3) 18 + 9f = (-6 + 3f) Solving 18 + 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. 18 + 9f + -3f = -6 + 3f + -3f Combine like terms: 9f + -3f = 6f 18 + 6f = -6 + 3f + -3f Combine like terms: 3f + -3f = 0 18 + 6f = -6 + 0 18 + 6f = -6 Add '-18' to each side of the equation. 18 + -18 + 6f = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 6f = -6 + -18 6f = -6 + -18 Combine like terms: -6 + -18 = -24 6f = -24 Divide each side by '6'. f = -4 Simplifying f = -4
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