Using the properties of equality, solve the equation 14(8−16g)+8=g .

Answer 1

To solve the equation, we will distribute the 14 to both terms inside the parentheses:

14(8 - 16g) + 8 = g
112 - 224g + 8 = g

Now, let's combine like terms by moving the g term to the left side of the equation and the constants to the right side:

-224g - g = -112 - 8
-225g = -120

Now, let's divide both sides of the equation by -225 to isolate g:

g = (-120)/(-225)

Dividing both -120 and -225 by their greatest common divisor (GCD), which is 15, we simplify the equation further:

g = 8/15

Therefore, the solution to the equation is g = 8/15.