Answer:
w= 1 and w= -5/9
Step-by-step explanation:
Because you have an absolute value that means that there are 2 possibilities
either (3x +4) is positive or negative. Will work each case and that will give us the answers.
If (3x+4) is positive we have the equation
3w+ 4 = 6w +1 , subtract 3w from both sides
4 = 6w-3w+1, subtract 1 from both sides
4-1 = 6w-3w, combine like terms
3 = 3w , divide both sides by 3
1 = w
If (3x+4) is negative we have the equation
-(3w+ 4) = 6w +1 , distribute the negative sign in parentheses
-3w -4 = 6w +1, add 3w and subtract 1 from both sides of the equation
-4 -1 = 6w +3w, combine like terms
-5 = 9w , divide both sides by 9
(-5/9) = w
