First, subtract #color(red)(6/(v + 3))# from each side of the equation to consolidate the fractions:
#4/(v + 3) - color(red)(6/(v + 3)) = -color(red)(6/(v + 3)) + 6/(v + 3) + 2#
#(4 - 6)/(v + 3) = 0 + 2#
#-2/(v + 3) = 2#
Next, multiply each side of the equation by #color(red)(1/2)# to simplify the equation while keeping the equation balanced:
#color(red)(1/2) * -2/(v + 3) = color(red)(1/2) * 2#
#cancel(color(red)(1/2)) * -color(red)(cancel(color(black)(2)))/(v + 3) = 2/2#
#-1/(v + 3) = 1#
Then, multiply each side of the equation by #color(red)(v + 3)# to eliminate the fraction while keeping the equation balanced:
#color(red)(v + 3) * -1/(v + 3) = color(red)(v + 3) * 1#
#cancel(color(red)(v + 3)) * -1/color(red)(cancel(color(black)(v + 3))) = v + 3#
#-1 = v + 3#
Subtract #color(red)(3)# from each side of the equation to solve for #v# while keeping the equation balanced:
#-1 - color(red)(3) = v + 3 - color(red)(3)#
#-4 = v + 0#
#-4 = v#
#v = -4#
