First, combine like terms on the right side of the equation:
#19.91 - 18.9v = -19.24 - 3.3color(red)(v) - 18.3color(red)(v)#
#19.91 - 18.9v = -19.24 + (-3.3 - 18.3)color(red)(v)#
#19.91 - 18.9v = -19.24 + (-21.6)color(red)(v)#
#19.91 - 18.9v = -19.24 - 21.6v#
Next, subtract #color(red)(19.91)# and add #color(blue)(21.6v)# to each side of the equation to isolate the #v# term while keeping the equation balanced:
#-color(red)(19.91) + 19.91 - 18.9v + color(blue)(21.6v) = -color(red)(19.91) - 19.24 - 21.6v + color(blue)(21.6v)#
#0 + (-18.9 + color(blue)(21.6))v = -39.15 - 0#
#2.7v = -39.15#
Now, divide each side of the equation by #color(red)(2.7)# to solve for #v# while keeping the equation balanced:
#(2.7v)/color(red)(2.7) = -39.15/color(red)(2.7)#
#(color(red)(cancel(color(black)(2.7)))v)/cancel(color(red)(2.7)) = -14.5#
#v = -14.5#
