16=.5*3(a+4)

Solution for 16=.5*3(a+4) equation:

Simplifying
16 = 0.5 * 3(a + 4)

Reorder the terms:
16 = 0.5 * 3(4 + a)

Multiply 0.5 * 3
16 = 1.5(4 + a)
16 = (4 * 1.5 + a * 1.5)
16 = (6 + 1.5a)

Solving
16 = 6 + 1.5a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1.5a' to each side of the equation.
16 + -1.5a = 6 + 1.5a + -1.5a

Combine like terms: 1.5a + -1.5a = 0.0
16 + -1.5a = 6 + 0.0
16 + -1.5a = 6

Add '-16' to each side of the equation.
16 + -16 + -1.5a = 6 + -16

Combine like terms: 16 + -16 = 0
0 + -1.5a = 6 + -16
-1.5a = 6 + -16

Combine like terms: 6 + -16 = -10
-1.5a = -10

Divide each side by '-1.5'.
a = 6.666666667

Simplifying
a = 6.666666667