Rearrange the following formula to make the letter in brackets the new subject

Uh... which letter is in brackets? :confused:

Anyway, I guess you meant the letter 'h'.

g = 10 - 4h

You need to have the h alone. So, first, let's remove that 10. We do so by subtracting 10 from both sides.

g - 10 = 10 - 4h - 10

This gives:

g - 10 = -4h

since 10 - 10 = 0

Now, we need to remove the -4. To do this, divide both sides by -4, so that you have -4/-4 = 1

\frac{g - 10}{-4} = \frac{-4h}{-4}

This gives:

\frac{g - 10}{-4} = 1h

\frac{g - 10}{-4} = h

h = \frac{g - 10}{-4}

Ok? :)

Now, if you want to remove the negative denominator, you can multiply by -1/-1 which is equal to one and so does not change the equation.

h = \frac{g - 10}{-4} \times \frac{-1}{-1}

h = \frac{-(g - 10)}{-(-4)}

h = \frac{-g + 10}{4}

h = \frac{10-g}{4}