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Simplifying 6(5f + 8) = 5(8f + 5) Reorder the terms: 6(8 + 5f) = 5(8f + 5) (8 * 6 + 5f * 6) = 5(8f + 5) (48 + 30f) = 5(8f + 5) Reorder the terms: 48 + 30f = 5(5 + 8f) 48 + 30f = (5 * 5 + 8f * 5) 48 + 30f = (25 + 40f) Solving 48 + 30f = 25 + 40f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-40f' to each side of the equation. 48 + 30f + -40f = 25 + 40f + -40f Combine like terms: 30f + -40f = -10f 48 + -10f = 25 + 40f + -40f Combine like terms: 40f + -40f = 0 48 + -10f = 25 + 0 48 + -10f = 25 Add '-48' to each side of the equation. 48 + -48 + -10f = 25 + -48 Combine like terms: 48 + -48 = 0 0 + -10f = 25 + -48 -10f = 25 + -48 Combine like terms: 25 + -48 = -23 -10f = -23 Divide each side by '-10'. f = 2.3 Simplifying f = 2.3
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