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Simplifying 5(5f + -2) = 5(3f + 4) Reorder the terms: 5(-2 + 5f) = 5(3f + 4) (-2 * 5 + 5f * 5) = 5(3f + 4) (-10 + 25f) = 5(3f + 4) Reorder the terms: -10 + 25f = 5(4 + 3f) -10 + 25f = (4 * 5 + 3f * 5) -10 + 25f = (20 + 15f) Solving -10 + 25f = 20 + 15f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-15f' to each side of the equation. -10 + 25f + -15f = 20 + 15f + -15f Combine like terms: 25f + -15f = 10f -10 + 10f = 20 + 15f + -15f Combine like terms: 15f + -15f = 0 -10 + 10f = 20 + 0 -10 + 10f = 20 Add '10' to each side of the equation. -10 + 10 + 10f = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 10f = 20 + 10 10f = 20 + 10 Combine like terms: 20 + 10 = 30 10f = 30 Divide each side by '10'. f = 3 Simplifying f = 3
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