7(a+b)+2(a-3b)=

Solution for 7(a+b)+2(a-3b)= equation:

Simplifying
7(a + b) + 2(a + -3b) = 0
(a * 7 + b * 7) + 2(a + -3b) = 0
(7a + 7b) + 2(a + -3b) = 0
7a + 7b + (a * 2 + -3b * 2) = 0
7a + 7b + (2a + -6b) = 0

Reorder the terms:
7a + 2a + 7b + -6b = 0

Combine like terms: 7a + 2a = 9a
9a + 7b + -6b = 0

Combine like terms: 7b + -6b = 1b
9a + 1b = 0

Solving
9a + 1b = 0

Solving for variable 'a'.

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

Add '-1b' to each side of the equation.
9a + 1b + -1b = 0 + -1b

Combine like terms: 1b + -1b = 0
9a + 0 = 0 + -1b
9a = 0 + -1b
Remove the zero:
9a = -1b

Divide each side by '9'.
a = -0.1111111111b

Simplifying
a = -0.1111111111b