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Simplifying 5(f + 2) = 2(3 + -3f) Reorder the terms: 5(2 + f) = 2(3 + -3f) (2 * 5 + f * 5) = 2(3 + -3f) (10 + 5f) = 2(3 + -3f) 10 + 5f = (3 * 2 + -3f * 2) 10 + 5f = (6 + -6f) Solving 10 + 5f = 6 + -6f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '6f' to each side of the equation. 10 + 5f + 6f = 6 + -6f + 6f Combine like terms: 5f + 6f = 11f 10 + 11f = 6 + -6f + 6f Combine like terms: -6f + 6f = 0 10 + 11f = 6 + 0 10 + 11f = 6 Add '-10' to each side of the equation. 10 + -10 + 11f = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 11f = 6 + -10 11f = 6 + -10 Combine like terms: 6 + -10 = -4 11f = -4 Divide each side by '11'. f = -0.3636363636 Simplifying f = -0.3636363636
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