How did nerva attempt to improve the roman economy

Marcus Cocceius Nerva attempt to improve the economy of the Roman Empire by increasing his popularity and using his own money and power to distribute it to the poor. Nerva also use the condition to give exemptions to family for the inheritance taxes. 

simplify brackets

8 - 2a - 7 = a + 40

simplify 8 - 2a - 7 to -2a + 1

-2a + 1 = a + 40

add 2a to both sides

1 = a + 40 + 2a

simplify a + 40 + 2a to 3a + 40

1 = 3a + 40

subtract 40 from both sides

1 - 40 = 3a

simplify 1 - 40 o -39

-39 = 3a

divide both sides by 3

-39/3 = a

simplify 39/3 to 13

-13 = a

switch sides

a = -13