-(5a+8)+2(a+7)=-4a-5a

Solution for -(5a+8)+2(a+7)=-4a-5a equation:

Simplifying
-1(5a + 8) + 2(a + 7) = -4a + -5a

Reorder the terms:
-1(8 + 5a) + 2(a + 7) = -4a + -5a
(8 * -1 + 5a * -1) + 2(a + 7) = -4a + -5a
(-8 + -5a) + 2(a + 7) = -4a + -5a

Reorder the terms:
-8 + -5a + 2(7 + a) = -4a + -5a
-8 + -5a + (7 * 2 + a * 2) = -4a + -5a
-8 + -5a + (14 + 2a) = -4a + -5a

Reorder the terms:
-8 + 14 + -5a + 2a = -4a + -5a

Combine like terms: -8 + 14 = 6
6 + -5a + 2a = -4a + -5a

Combine like terms: -5a + 2a = -3a
6 + -3a = -4a + -5a

Combine like terms: -4a + -5a = -9a
6 + -3a = -9a

Solving
6 + -3a = -9a

Solving for variable 'a'.

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

Add '9a' to each side of the equation.
6 + -3a + 9a = -9a + 9a

Combine like terms: -3a + 9a = 6a
6 + 6a = -9a + 9a

Combine like terms: -9a + 9a = 0
6 + 6a = 0

Add '-6' to each side of the equation.
6 + -6 + 6a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 6a = 0 + -6
6a = 0 + -6

Combine like terms: 0 + -6 = -6
6a = -6

Divide each side by '6'.
a = -1

Simplifying
a = -1