0.5[(10-g)+(-6+3g)]=

Solution for 0.5[(10-g)+(-6+3g)]= equation:

Simplifying
0.5[(10 + -1g) + (-6 + 3g)] = 0

Remove parenthesis around (10 + -1g)
0.5[10 + -1g + (-6 + 3g)] = 0

Remove parenthesis around (-6 + 3g)
0.5[10 + -1g + -6 + 3g] = 0

Reorder the terms:
0.5[10 + -6 + -1g + 3g] = 0

Combine like terms: 10 + -6 = 4
0.5[4 + -1g + 3g] = 0

Combine like terms: -1g + 3g = 2g
0.5[4 + 2g] = 0
[4 * 0.5 + 2g * 0.5] = 0
[2 + 1g] = 0

Solving
2 + 1g = 0

Solving for variable 'g'.

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

Add '-2' to each side of the equation.
2 + -2 + 1g = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 1g = 0 + -2
1g = 0 + -2

Combine like terms: 0 + -2 = -2
1g = -2

Divide each side by '1'.
g = -2

Simplifying
g = -2