5(2a+3b)+6(a+b)=

Solution for 5(2a+3b)+6(a+b)= equation:

Simplifying
5(2a + 3b) + 6(a + b) = 0
(2a * 5 + 3b * 5) + 6(a + b) = 0
(10a + 15b) + 6(a + b) = 0
10a + 15b + (a * 6 + b * 6) = 0
10a + 15b + (6a + 6b) = 0

Reorder the terms:
10a + 6a + 15b + 6b = 0

Combine like terms: 10a + 6a = 16a
16a + 15b + 6b = 0

Combine like terms: 15b + 6b = 21b
16a + 21b = 0

Solving
16a + 21b = 0

Solving for variable 'a'.

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

Add '-21b' to each side of the equation.
16a + 21b + -21b = 0 + -21b

Combine like terms: 21b + -21b = 0
16a + 0 = 0 + -21b
16a = 0 + -21b
Remove the zero:
16a = -21b

Divide each side by '16'.
a = -1.3125b

Simplifying
a = -1.3125b