-(9-5a)-(15+4a)-1=-(8-5a)+(-a)+7

Solution for -(9-5a)-(15+4a)-1=-(8-5a)+(-a)+7 equation:

Simplifying
-1(9 + -5a) + -1(15 + 4a) + -1 = -1(8 + -5a) + (-1a) + 7
(9 * -1 + -5a * -1) + -1(15 + 4a) + -1 = -1(8 + -5a) + (-1a) + 7
(-9 + 5a) + -1(15 + 4a) + -1 = -1(8 + -5a) + (-1a) + 7
-9 + 5a + (15 * -1 + 4a * -1) + -1 = -1(8 + -5a) + (-1a) + 7
-9 + 5a + (-15 + -4a) + -1 = -1(8 + -5a) + (-1a) + 7

Reorder the terms:
-9 + -15 + -1 + 5a + -4a = -1(8 + -5a) + (-1a) + 7

Combine like terms: -9 + -15 = -24
-24 + -1 + 5a + -4a = -1(8 + -5a) + (-1a) + 7

Combine like terms: -24 + -1 = -25
-25 + 5a + -4a = -1(8 + -5a) + (-1a) + 7

Combine like terms: 5a + -4a = 1a
-25 + 1a = -1(8 + -5a) + (-1a) + 7
-25 + 1a = (8 * -1 + -5a * -1) + (-1a) + 7
-25 + 1a = (-8 + 5a) + (-1a) + 7

Reorder the terms:
-25 + 1a = -8 + 7 + 5a + (-1a)

Combine like terms: -8 + 7 = -1
-25 + 1a = -1 + 5a + (-1a)

Combine like terms: 5a + (-1a) = 4a
-25 + 1a = -1 + 4a

Solving
-25 + 1a = -1 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-25 + 1a + -4a = -1 + 4a + -4a

Combine like terms: 1a + -4a = -3a
-25 + -3a = -1 + 4a + -4a

Combine like terms: 4a + -4a = 0
-25 + -3a = -1 + 0
-25 + -3a = -1

Add '25' to each side of the equation.
-25 + 25 + -3a = -1 + 25

Combine like terms: -25 + 25 = 0
0 + -3a = -1 + 25
-3a = -1 + 25

Combine like terms: -1 + 25 = 24
-3a = 24

Divide each side by '-3'.
a = -8

Simplifying
a = -8