Question

Using the properties of equality, solve the equation 1/4 (8-16g) +8=g
The solution to the equation is g=___

Answer 1

The solution to the equation is g = 2.

To solve the equation, we can start by distributing the 1/4 to the terms in the parentheses:
(1/4)(8) - (1/4)(16g) + 8 = g
2 - 4g + 8 = g

Next, we can combine like terms:
10 - 4g = g

To isolate g, we can move the terms with g to one side of the equation and the constant terms to the other side:
10 = g + 4g
10 = 5g

Finally, we can solve for g by dividing both sides of the equation by 5:
10/5 = (g + 4g)/5
2 = g

Therefore, the solution to the equation is g = 2.