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Simplifying -30 + 4f = -9(3f + -5) Reorder the terms: -30 + 4f = -9(-5 + 3f) -30 + 4f = (-5 * -9 + 3f * -9) -30 + 4f = (45 + -27f) Solving -30 + 4f = 45 + -27f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '27f' to each side of the equation. -30 + 4f + 27f = 45 + -27f + 27f Combine like terms: 4f + 27f = 31f -30 + 31f = 45 + -27f + 27f Combine like terms: -27f + 27f = 0 -30 + 31f = 45 + 0 -30 + 31f = 45 Add '30' to each side of the equation. -30 + 30 + 31f = 45 + 30 Combine like terms: -30 + 30 = 0 0 + 31f = 45 + 30 31f = 45 + 30 Combine like terms: 45 + 30 = 75 31f = 75 Divide each side by '31'. f = 2.419354839 Simplifying f = 2.419354839
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