(4a+12)+(-6a-13)=

Solution for (4a+12)+(-6a-13)= equation:

Simplifying
(4a + 12) + (-6a + -13) = 0

Reorder the terms:
(12 + 4a) + (-6a + -13) = 0

Remove parenthesis around (12 + 4a)
12 + 4a + (-6a + -13) = 0

Reorder the terms:
12 + 4a + (-13 + -6a) = 0

Remove parenthesis around (-13 + -6a)
12 + 4a + -13 + -6a = 0

Reorder the terms:
12 + -13 + 4a + -6a = 0

Combine like terms: 12 + -13 = -1
-1 + 4a + -6a = 0

Combine like terms: 4a + -6a = -2a
-1 + -2a = 0

Solving
-1 + -2a = 0

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + 1 + -2a = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2a = 0 + 1
-2a = 0 + 1

Combine like terms: 0 + 1 = 1
-2a = 1

Divide each side by '-2'.
a = -0.5

Simplifying
a = -0.5