Question

how many solutions does this equation have?
$3 - 2(-6q + 17) = 12q$
no solution
one solution
infinitely many solutions

Explanation:

Step1: Expand left-hand side

$3 - 2(-6q + 17) = 3 + 12q - 34$

Step2: Simplify the expression

$3 + 12q - 34 = 12q - 31$

Step3: Rearrange to isolate terms

$12q - 31 = 12q \implies -31 = 0$

Answer:

no solution