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

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

Simplifying
6 + -1(7a + -2) = -1(1 + 6a)

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

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

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

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

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

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

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

Combine like terms: -1 + -8 = -9
-1a = -9

Divide each side by '-1'.
a = 9

Simplifying
a = 9