c + 9 - 3(c - 10) > 1
We're going to treat this like a regular algebraic equation, thus most algebraic rules and properties apply.
First, apply distributive property.
c + 9 - 3c + 30 > 1 (two - signs cancel out, creating a + sign.)
Combine like terms.
-2c + 39 > 1
Subtract 39 from both sides.
-2c > -38
Divide both sides by -2.
c < 19 (Because we're dividing by a negative number, the sign gets swapped.)
Your answer is c < 19.