Question

How do you solve `15.06+ 7.5g - 13.5g = - 6.6g + 4.92`?

Answer 1

See a solution process below:

Explanation:

First, combine like terms on the left side of the equation:

`15.06 + (7.5 - 13.5)g = -6.6g + 4.92`

`15.06 + (-6)g = -6.6g + 4.92`

`15.06 - 6g = -6.6g + 4.92`

Next, subtract `color(red)(15.06)` and add `color(blue)(6.6g)` to each side of the equation to isolate the `g` term while keeping the equation balanced:

`15.06 - 6g - color(red)(15.06) + color(blue)(6.6g) = -6.6g + 4.92 - color(red)(15.06) + color(blue)(6.6g)`

`15.06 - color(red)(15.06) - 6g + color(blue)(6.6g) = -6.6g + color(blue)(6.6g) + 4.92 - color(red)(15.06)`

`0 + (-6 + color(blue)(6.6))g = 0 - 10.14`

`0.6g = -10.14`

Now, divide each side of the equation by `color(red)(0.6)` to solve for `g` while keeping the equation balanced:

`(0.6g)/color(red)(0.6) = -10.14/color(red)(0.6)`

`(color(red)(cancel(color(black)(0.6)))g)/cancel(color(red)(0.6)) = -16.9`

`g = -16.9`