Question

Solve for q - 3/4q = 12 q = ___

Answer 1

$\text{We know: } \\ \boxed{\frac{\ -3\ }{\ 4\ }*q=12 } \\ \\ q=12: \frac{\ -3\ }{\ 4\ } \\ \\ q=12* \frac{\ 4\ }{\ -3\ } \\ \\ q= \frac{\ 48\ } {\ -3\ } \\ \\ q=-16 \\ ********** \\ \\ \text{Check:}\\ \\ \boxed{ \frac{-3}{4}*-16=12 } \\ \\ \frac{48}{4} =12 \ TRUE$

Answer 2

$\frac{-3}{4q}=12$
Multiply by q to eliminate var in denominator 
$\frac{ \not q*(3)}{4 \not q} =q*12$
$q= \frac{-3}{4} =q*12$
Common denominator is 4
$\frac{ \not 4(-3)}{ \not 4} =4q*12$
$-3=4q*12$
$-3=48q$
Divide  by 48
$q=\frac{ \not 3}{ \not 4 \not 8}$
$q=-16$
The answer is: $q=-16$