Answer:
[tex]q=-2[/tex]
Step-by-step explanation:
[tex]12q+-8=16q[/tex]
[tex]12q+(-8)=16q[/tex]
Start by getting rid of the addition sign, as a positive multiplied by a negative is negative:
[tex]12q-8=16q[/tex]
Subtract [tex]12q[/tex] from both sides of the equation:
[tex]-8=4q[/tex]
Divide both sides of the equation by the coefficient of [tex]q[/tex], which is [tex]4[/tex]:
[tex]-2=q[/tex]
or
[tex]q=-2[/tex]
_
Check your by substituting the solved [tex]q[/tex] value in to the initial equation:
[tex]12(-2)+(-8)=16(-2)[/tex]
[tex]-24-8=-32[/tex]
[tex]-32=-32[/tex]
Since both sides of the equation are equal, our answer is correct!
