2(4a+6)+6(4a+6)=80

Solution for 2(4a+6)+6(4a+6)=80 equation:

Simplifying
2(4a + 6) + 6(4a + 6) = 80

Reorder the terms:
2(6 + 4a) + 6(4a + 6) = 80
(6 * 2 + 4a * 2) + 6(4a + 6) = 80
(12 + 8a) + 6(4a + 6) = 80

Reorder the terms:
12 + 8a + 6(6 + 4a) = 80
12 + 8a + (6 * 6 + 4a * 6) = 80
12 + 8a + (36 + 24a) = 80

Reorder the terms:
12 + 36 + 8a + 24a = 80

Combine like terms: 12 + 36 = 48
48 + 8a + 24a = 80

Combine like terms: 8a + 24a = 32a
48 + 32a = 80

Solving
48 + 32a = 80

Solving for variable 'a'.

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

Add '-48' to each side of the equation.
48 + -48 + 32a = 80 + -48

Combine like terms: 48 + -48 = 0
0 + 32a = 80 + -48
32a = 80 + -48

Combine like terms: 80 + -48 = 32
32a = 32

Divide each side by '32'.
a = 1

Simplifying
a = 1