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Simplifying 21 + -9f = -20(f + -6) Reorder the terms: 21 + -9f = -20(-6 + f) 21 + -9f = (-6 * -20 + f * -20) 21 + -9f = (120 + -20f) Solving 21 + -9f = 120 + -20f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '20f' to each side of the equation. 21 + -9f + 20f = 120 + -20f + 20f Combine like terms: -9f + 20f = 11f 21 + 11f = 120 + -20f + 20f Combine like terms: -20f + 20f = 0 21 + 11f = 120 + 0 21 + 11f = 120 Add '-21' to each side of the equation. 21 + -21 + 11f = 120 + -21 Combine like terms: 21 + -21 = 0 0 + 11f = 120 + -21 11f = 120 + -21 Combine like terms: 120 + -21 = 99 11f = 99 Divide each side by '11'. f = 9 Simplifying f = 9
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