-4(a-3)-(a+6)=1-8a+5+7a

Solution for -4(a-3)-(a+6)=1-8a+5+7a equation:

Simplifying
-4(a + -3) + -1(a + 6) = 1 + -8a + 5 + 7a

Reorder the terms:
-4(-3 + a) + -1(a + 6) = 1 + -8a + 5 + 7a
(-3 * -4 + a * -4) + -1(a + 6) = 1 + -8a + 5 + 7a
(12 + -4a) + -1(a + 6) = 1 + -8a + 5 + 7a

Reorder the terms:
12 + -4a + -1(6 + a) = 1 + -8a + 5 + 7a
12 + -4a + (6 * -1 + a * -1) = 1 + -8a + 5 + 7a
12 + -4a + (-6 + -1a) = 1 + -8a + 5 + 7a

Reorder the terms:
12 + -6 + -4a + -1a = 1 + -8a + 5 + 7a

Combine like terms: 12 + -6 = 6
6 + -4a + -1a = 1 + -8a + 5 + 7a

Combine like terms: -4a + -1a = -5a
6 + -5a = 1 + -8a + 5 + 7a

Reorder the terms:
6 + -5a = 1 + 5 + -8a + 7a

Combine like terms: 1 + 5 = 6
6 + -5a = 6 + -8a + 7a

Combine like terms: -8a + 7a = -1a
6 + -5a = 6 + -1a

Add '-6' to each side of the equation.
6 + -6 + -5a = 6 + -6 + -1a

Combine like terms: 6 + -6 = 0
0 + -5a = 6 + -6 + -1a
-5a = 6 + -6 + -1a

Combine like terms: 6 + -6 = 0
-5a = 0 + -1a
-5a = -1a

Solving
-5a = -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
-5a + a = -1a + a

Combine like terms: -5a + a = -4a
-4a = -1a + a

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

Divide each side by '-4'.
a = 0

Simplifying
a = 0