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Simplifying 20 + 9(-2f + 18) = -2(-11f + 9) Reorder the terms: 20 + 9(18 + -2f) = -2(-11f + 9) 20 + (18 * 9 + -2f * 9) = -2(-11f + 9) 20 + (162 + -18f) = -2(-11f + 9) Combine like terms: 20 + 162 = 182 182 + -18f = -2(-11f + 9) Reorder the terms: 182 + -18f = -2(9 + -11f) 182 + -18f = (9 * -2 + -11f * -2) 182 + -18f = (-18 + 22f) Solving 182 + -18f = -18 + 22f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-22f' to each side of the equation. 182 + -18f + -22f = -18 + 22f + -22f Combine like terms: -18f + -22f = -40f 182 + -40f = -18 + 22f + -22f Combine like terms: 22f + -22f = 0 182 + -40f = -18 + 0 182 + -40f = -18 Add '-182' to each side of the equation. 182 + -182 + -40f = -18 + -182 Combine like terms: 182 + -182 = 0 0 + -40f = -18 + -182 -40f = -18 + -182 Combine like terms: -18 + -182 = -200 -40f = -200 Divide each side by '-40'. f = 5 Simplifying f = 5
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