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Simplifying 20 + -1(3f + -9) + -2 = -1(-11f + 1) Reorder the terms: 20 + -1(-9 + 3f) + -2 = -1(-11f + 1) 20 + (-9 * -1 + 3f * -1) + -2 = -1(-11f + 1) 20 + (9 + -3f) + -2 = -1(-11f + 1) Reorder the terms: 20 + 9 + -2 + -3f = -1(-11f + 1) Combine like terms: 20 + 9 = 29 29 + -2 + -3f = -1(-11f + 1) Combine like terms: 29 + -2 = 27 27 + -3f = -1(-11f + 1) Reorder the terms: 27 + -3f = -1(1 + -11f) 27 + -3f = (1 * -1 + -11f * -1) 27 + -3f = (-1 + 11f) Solving 27 + -3f = -1 + 11f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-11f' to each side of the equation. 27 + -3f + -11f = -1 + 11f + -11f Combine like terms: -3f + -11f = -14f 27 + -14f = -1 + 11f + -11f Combine like terms: 11f + -11f = 0 27 + -14f = -1 + 0 27 + -14f = -1 Add '-27' to each side of the equation. 27 + -27 + -14f = -1 + -27 Combine like terms: 27 + -27 = 0 0 + -14f = -1 + -27 -14f = -1 + -27 Combine like terms: -1 + -27 = -28 -14f = -28 Divide each side by '-14'. f = 2 Simplifying f = 2
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