Three times the sum of a number and 4 is 8 less than one-half the number. Write and solve an equation to find the number

3 (n+4) + 8 = n/2

3n + 12 + 8 = n/2

3n + 20 = n/2

6n + 40 = n [Multiply both sides by 2]

5n + 40 = 0 [Subtract n from each side]

5n = - 40 [Subtract 40 from each side]

n = - 8 [Divide both sides by 5]

3 (-8 + 4) + 8 = (-8/2)

3 (-4) + 8 = - 4

-12 + 8 = - 4

Checks out.