3g-6(g-8)=42

Solution for 3g-6(g-8)=42 equation:

Simplifying
3g + -6(g + -8) = 42

Reorder the terms:
3g + -6(-8 + g) = 42
3g + (-8 * -6 + g * -6) = 42
3g + (48 + -6g) = 42

Reorder the terms:
48 + 3g + -6g = 42

Combine like terms: 3g + -6g = -3g
48 + -3g = 42

Solving
48 + -3g = 42

Solving for variable 'g'.

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

Add '-48' to each side of the equation.
48 + -48 + -3g = 42 + -48

Combine like terms: 48 + -48 = 0
0 + -3g = 42 + -48
-3g = 42 + -48

Combine like terms: 42 + -48 = -6
-3g = -6

Divide each side by '-3'.
g = 2

Simplifying
g = 2