4a+6(a+8)=0

Solution for 4a+6(a+8)=0 equation:

Simplifying
4a + 6(a + 8) = 0

Reorder the terms:
4a + 6(8 + a) = 0
4a + (8 * 6 + a * 6) = 0
4a + (48 + 6a) = 0

Reorder the terms:
48 + 4a + 6a = 0

Combine like terms: 4a + 6a = 10a
48 + 10a = 0

Solving
48 + 10a = 0

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 + 10a = 0 + -48

Combine like terms: 48 + -48 = 0
0 + 10a = 0 + -48
10a = 0 + -48

Combine like terms: 0 + -48 = -48
10a = -48

Divide each side by '10'.
a = -4.8

Simplifying
a = -4.8