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Simplifying 9(11 + -1f) = 3(3f + -9) (11 * 9 + -1f * 9) = 3(3f + -9) (99 + -9f) = 3(3f + -9) Reorder the terms: 99 + -9f = 3(-9 + 3f) 99 + -9f = (-9 * 3 + 3f * 3) 99 + -9f = (-27 + 9f) Solving 99 + -9f = -27 + 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. 99 + -9f + -9f = -27 + 9f + -9f Combine like terms: -9f + -9f = -18f 99 + -18f = -27 + 9f + -9f Combine like terms: 9f + -9f = 0 99 + -18f = -27 + 0 99 + -18f = -27 Add '-99' to each side of the equation. 99 + -99 + -18f = -27 + -99 Combine like terms: 99 + -99 = 0 0 + -18f = -27 + -99 -18f = -27 + -99 Combine like terms: -27 + -99 = -126 -18f = -126 Divide each side by '-18'. f = 7 Simplifying f = 7
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