-(6-8a)-(27+7a)-8=-(2-7a)+(-a)+1

Solution for -(6-8a)-(27+7a)-8=-(2-7a)+(-a)+1 equation:

Simplifying
-1(6 + -8a) + -1(27 + 7a) + -8 = -1(2 + -7a) + (-1a) + 1
(6 * -1 + -8a * -1) + -1(27 + 7a) + -8 = -1(2 + -7a) + (-1a) + 1
(-6 + 8a) + -1(27 + 7a) + -8 = -1(2 + -7a) + (-1a) + 1
-6 + 8a + (27 * -1 + 7a * -1) + -8 = -1(2 + -7a) + (-1a) + 1
-6 + 8a + (-27 + -7a) + -8 = -1(2 + -7a) + (-1a) + 1

Reorder the terms:
-6 + -27 + -8 + 8a + -7a = -1(2 + -7a) + (-1a) + 1

Combine like terms: -6 + -27 = -33
-33 + -8 + 8a + -7a = -1(2 + -7a) + (-1a) + 1

Combine like terms: -33 + -8 = -41
-41 + 8a + -7a = -1(2 + -7a) + (-1a) + 1

Combine like terms: 8a + -7a = 1a
-41 + 1a = -1(2 + -7a) + (-1a) + 1
-41 + 1a = (2 * -1 + -7a * -1) + (-1a) + 1
-41 + 1a = (-2 + 7a) + (-1a) + 1

Reorder the terms:
-41 + 1a = -2 + 1 + 7a + (-1a)

Combine like terms: -2 + 1 = -1
-41 + 1a = -1 + 7a + (-1a)

Combine like terms: 7a + (-1a) = 6a
-41 + 1a = -1 + 6a

Solving
-41 + 1a = -1 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-41 + 1a + -6a = -1 + 6a + -6a

Combine like terms: 1a + -6a = -5a
-41 + -5a = -1 + 6a + -6a

Combine like terms: 6a + -6a = 0
-41 + -5a = -1 + 0
-41 + -5a = -1

Add '41' to each side of the equation.
-41 + 41 + -5a = -1 + 41

Combine like terms: -41 + 41 = 0
0 + -5a = -1 + 41
-5a = -1 + 41

Combine like terms: -1 + 41 = 40
-5a = 40

Divide each side by '-5'.
a = -8

Simplifying
a = -8