Question

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

Answer 1

To solve the equation, we can use the distributive property to simplify the left side of the equation:

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

Now we can rewrite the equation using this simplified form:

112 - 224g + 8 = g

Combine like terms on the left side:

120 - 224g = g

Next, we can isolate the variables on opposite sides of the equation by adding 224g to both sides:

120 - 224g + 224g = g + 224g

This simplifies to:

120 = 225g

Finally, we can solve for g by dividing both sides of the equation by 225:

120/225 = g

Reducing the fraction gives:

8/15 = g

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