Rearrange the following to make 'm' the subject. 4(m - 2) = t(5m + 3)

The first step is to expand the brackets by multiplication. This can be done using the 'bird method'. This results in 4m – 8 = 5mt + 3tNow to collect all 'm' like terms of the equation on the LHS. This gives 4m – 5mt = 3t + 8Next factor 'm' outside of a bracket m(4 – 5t) = 3t + 8 Finally, divide the RHS by the term within the bracket on the LHS to leave 'm' on its own, thus becoming the subject of the equation m = (3t + 8)/(4 – 5t)