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

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

Simplifying
5(a + b) + 2(a + b) = 0
(a * 5 + b * 5) + 2(a + b) = 0
(5a + 5b) + 2(a + b) = 0
5a + 5b + (a * 2 + b * 2) = 0
5a + 5b + (2a + 2b) = 0

Reorder the terms:
5a + 2a + 5b + 2b = 0

Combine like terms: 5a + 2a = 7a
7a + 5b + 2b = 0

Combine like terms: 5b + 2b = 7b
7a + 7b = 0

Solving
7a + 7b = 0

Solving for variable 'a'.

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

Add '-7b' to each side of the equation.
7a + 7b + -7b = 0 + -7b

Combine like terms: 7b + -7b = 0
7a + 0 = 0 + -7b
7a = 0 + -7b
Remove the zero:
7a = -7b

Divide each side by '7'.
a = -1b

Simplifying
a = -1b