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

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

Simplifying
2(a + 3) + 3(a + 7) = 0

Reorder the terms:
2(3 + a) + 3(a + 7) = 0
(3 * 2 + a * 2) + 3(a + 7) = 0
(6 + 2a) + 3(a + 7) = 0

Reorder the terms:
6 + 2a + 3(7 + a) = 0
6 + 2a + (7 * 3 + a * 3) = 0
6 + 2a + (21 + 3a) = 0

Reorder the terms:
6 + 21 + 2a + 3a = 0

Combine like terms: 6 + 21 = 27
27 + 2a + 3a = 0

Combine like terms: 2a + 3a = 5a
27 + 5a = 0

Solving
27 + 5a = 0

Solving for variable 'a'.

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

Add '-27' to each side of the equation.
27 + -27 + 5a = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 5a = 0 + -27
5a = 0 + -27

Combine like terms: 0 + -27 = -27
5a = -27

Divide each side by '5'.
a = -5.4

Simplifying
a = -5.4