Please help with my stat hw

A distribution with μ=65 and σ=6 is being standardized to produce a new mean of μ=50 and a new standard deviation of σ=10. Find the new standardized value for each of the following scores from the original distribution: 71, 62, 74, and 53.

the new standardized values will have the same z-scores that they had in the original distribution

... they will be the same number of standard deviations from the mean

find the original z-scores

convert to the new distribution by using the new μ and σ