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

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

Simplifying
4(a + b) + 6(b + 2a) = 0
(a * 4 + b * 4) + 6(b + 2a) = 0
(4a + 4b) + 6(b + 2a) = 0

Reorder the terms:
4a + 4b + 6(2a + b) = 0
4a + 4b + (2a * 6 + b * 6) = 0
4a + 4b + (12a + 6b) = 0

Reorder the terms:
4a + 12a + 4b + 6b = 0

Combine like terms: 4a + 12a = 16a
16a + 4b + 6b = 0

Combine like terms: 4b + 6b = 10b
16a + 10b = 0

Solving
16a + 10b = 0

Solving for variable 'a'.

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

Add '-10b' to each side of the equation.
16a + 10b + -10b = 0 + -10b

Combine like terms: 10b + -10b = 0
16a + 0 = 0 + -10b
16a = 0 + -10b
Remove the zero:
16a = -10b

Divide each side by '16'.
a = -0.625b

Simplifying
a = -0.625b