a(4+1)+b(4-2)=16

Solution for a(4+1)+b(4-2)=16 equation:

Simplifying
a(4 + 1) + b(4 + -2) = 16

Combine like terms: 4 + 1 = 5
a(5) + b(4 + -2) = 16

Reorder the terms for easier multiplication:
5a + b(4 + -2) = 16

Combine like terms: 4 + -2 = 2
5a + b(2) = 16

Reorder the terms for easier multiplication:
5a + 2b = 16

Solving
5a + 2b = 16

Solving for variable 'a'.

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

Add '-2b' to each side of the equation.
5a + 2b + -2b = 16 + -2b

Combine like terms: 2b + -2b = 0
5a + 0 = 16 + -2b
5a = 16 + -2b

Divide each side by '5'.
a = 3.2 + -0.4b

Simplifying
a = 3.2 + -0.4b