78=3(2+4a)

Solution for 78=3(2+4a) equation:

Simplifying
78 = 3(2 + 4a)
78 = (2 * 3 + 4a * 3)
78 = (6 + 12a)

Solving
78 = 6 + 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
78 + -12a = 6 + 12a + -12a

Combine like terms: 12a + -12a = 0
78 + -12a = 6 + 0
78 + -12a = 6

Add '-78' to each side of the equation.
78 + -78 + -12a = 6 + -78

Combine like terms: 78 + -78 = 0
0 + -12a = 6 + -78
-12a = 6 + -78

Combine like terms: 6 + -78 = -72
-12a = -72

Divide each side by '-12'.
a = 6

Simplifying
a = 6