Chapter 2 - Solving Equations - 2-4 Solving Equations with Variables on Both Sides - Practice and Problem-Solving Exercises - Page 106: 26

7/6

First, distribute the 4 into the parentheses by multiplying 4 by -5 and 4 by 3g in order to follow the order of operations. Then, add the g from the right side of the equation onto the left making the equation look like : 5g - 20 + 12g + g = 1. Add the 20 from the left side onto the right and begin to combine constants with constants as well as variables to their matching appropriate variable making the equation appear as: 18g = 21. Finally, divide both sides by 18 to get the "g" variable alone and the equation will appear as : g = 7/6 which is what the problem asks for.