Question

How do you solve `13.7b-6.5=-2.3b+8.3`?

Answer 1

To solve for the variable `b`, we have to make it alone. The first thing we do is add `color(blue)(6.5)` to both sides of the equation:
`13.7b - 6.5 quadcolor(blue)(+quad6.5) = -2.3b + 8.3 quadcolor(blue)(+quad6.5)`

`13.7b = -2.3b + 14.8`

Now add `color(blue)(2.3)` to both sides:
`13.7b quadcolor(blue)(+2.3b) = -2.3b + 14.8 quadcolor(blue)(+2.3b)`

`16b = 14.8`

Finally, divide both sides by `color(blue)16` to get the final answer:
`(16b)/color(blue)16 = 14.8/color(blue)16`

Therefore,
`b = 0.3`

Hope this helps!