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Simplifying 9(f + -2) = 2(f + 3) Reorder the terms: 9(-2 + f) = 2(f + 3) (-2 * 9 + f * 9) = 2(f + 3) (-18 + 9f) = 2(f + 3) Reorder the terms: -18 + 9f = 2(3 + f) -18 + 9f = (3 * 2 + f * 2) -18 + 9f = (6 + 2f) Solving -18 + 9f = 6 + 2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2f' to each side of the equation. -18 + 9f + -2f = 6 + 2f + -2f Combine like terms: 9f + -2f = 7f -18 + 7f = 6 + 2f + -2f Combine like terms: 2f + -2f = 0 -18 + 7f = 6 + 0 -18 + 7f = 6 Add '18' to each side of the equation. -18 + 18 + 7f = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 7f = 6 + 18 7f = 6 + 18 Combine like terms: 6 + 18 = 24 7f = 24 Divide each side by '7'. f = 3.428571429 Simplifying f = 3.428571429
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