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

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

Simplifying
6 + -7a = -1(8a + 1)

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

Solving
6 + -7a = -1 + -8a

Solving for variable 'a'.

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

Add '8a' to each side of the equation.
6 + -7a + 8a = -1 + -8a + 8a

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

Combine like terms: -8a + 8a = 0
6 + 1a = -1 + 0
6 + 1a = -1

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

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

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

Divide each side by '1'.
a = -7

Simplifying
a = -7