You pay $45 per month for cable TV. Your friend buys a satellite TV receiver for $99 and pays $36 per month for satellite TV. Your friend claims that the expenses for a year of satellite TV are less than the expenses for a year of cable TV. Write and solve an equation to determine after how many months, LaTeX: m=number\:of\:monthsm = n u m b e r o f m o n t h s, when you and your friend will have paid the same amount for TV services.