(6g-2)+8(1-5g)=2g

Solution for (6g-2)+8(1-5g)=2g equation:

Simplifying
(6g + -2) + 8(1 + -5g) = 2g

Reorder the terms:
(-2 + 6g) + 8(1 + -5g) = 2g

Remove parenthesis around (-2 + 6g)
-2 + 6g + 8(1 + -5g) = 2g
-2 + 6g + (1 * 8 + -5g * 8) = 2g
-2 + 6g + (8 + -40g) = 2g

Reorder the terms:
-2 + 8 + 6g + -40g = 2g

Combine like terms: -2 + 8 = 6
6 + 6g + -40g = 2g

Combine like terms: 6g + -40g = -34g
6 + -34g = 2g

Solving
6 + -34g = 2g

Solving for variable 'g'.

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

Add '-2g' to each side of the equation.
6 + -34g + -2g = 2g + -2g

Combine like terms: -34g + -2g = -36g
6 + -36g = 2g + -2g

Combine like terms: 2g + -2g = 0
6 + -36g = 0

Add '-6' to each side of the equation.
6 + -6 + -36g = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -36g = 0 + -6
-36g = 0 + -6

Combine like terms: 0 + -6 = -6
-36g = -6

Divide each side by '-36'.
g = 0.1666666667

Simplifying
g = 0.1666666667