Question

how many solutions does this equation have?
$6(-v - 19) - 19 = 3v + 20$
no solution
one solution
infinitely many solutions

Explanation:

Step1: Expand left-hand side

$6(-v - 19) - 19 = -6v - 114 - 19 = -6v - 133$

Step2: Set equal to right-hand side

$-6v - 133 = 3v + 20$

Step3: Isolate variable terms

$-6v - 3v = 20 + 133$

Step4: Simplify both sides

$-9v = 153$

Step5: Solve for v

$v = \frac{153}{-9} = -17$

Answer:

one solution