Hello!
To solve this algebraic equation, we need to SADMEP. SADMEP is an acronym for subtraction, addition, division, multiplication, exponents, and parentheses. SADMEP is strictly used when solving algebraic equations.
The goal here, is to isolate the variable z.
9z - 3 = 87 (add 3 to both sides of the equation → S[A]DMEP)
9z = 90 (divide both sides by 9 → SA[D]MEP)
z = 10
Next, we should always check our answer. To check answers, we need to substitute z = 10 into the original equation, and simplify using PEMDAS because we are not solving algebraic equations. :-)
9z - 3 = 87 (substitute 10)
9(10) - 3 = 87 (multiply)
90 - 3 = 87 (subtract)
87 = 87 | This is equal!
Therefore, the answer to the given equation is z = 10.