Solve: 6 = (1/2)v + (2/5)v - (3/4)v.

1. Find the LCD of the fractions one-half, two-fifths, and three-fourths, which is 20. 2. Multiply every term on both sides by 20 to clear the fractions: 120 equals 10v plus 8v minus 15v. 3. Combine like terms on the right: 10v plus 8v minus 15v simplifies to 3v. 4. Divide both sides by 3 to get v equals 40, and checking confirms one-half of 40, plus two-fifths of 40, minus three-fourths of 40, equals 6. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.5 Solve Equations with Fractions or Decimals_