24-3(2w+1)=9 w-3(9+w)
Answers
Answer:
Simplifying
24 + -3(2w + 1) = 9w + -3(9 + w)
Reorder the terms:
24 + -3(1 + 2w) = 9w + -3(9 + w)
24 + (1 * -3 + 2w * -3) = 9w + -3(9 + w)
24 + (-3 + -6w) = 9w + -3(9 + w)
Combine like terms: 24 + -3 = 21
21 + -6w = 9w + -3(9 + w)
21 + -6w = 9w + (9 * -3 + w * -3)
21 + -6w = 9w + (-27 + -3w)
Reorder the terms:
21 + -6w = -27 + 9w + -3w
Combine like terms: 9w + -3w = 6w
21 + -6w = -27 + 6w
Solving
21 + -6w = -27 + 6w
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-6w' to each side of the equation.
21 + -6w + -6w = -27 + 6w + -6w
Combine like terms: -6w + -6w = -12w
21 + -12w = -27 + 6w + -6w
Combine like terms: 6w + -6w = 0
21 + -12w = -27 + 0
21 + -12w = -27
Add '-21' to each side of the equation.
21 + -21 + -12w = -27 + -21
Combine like terms: 21 + -21 = 0
0 + -12w = -27 + -21
-12w = -27 + -21
Combine like terms: -27 + -21 = -48
-12w = -48
Divide each side by '-12'.
w = 4
Simplifying
w = 4
Answer:
Considering it as a simple equation, lets simplify it and find w.
24-3(2w+1)=9w-3(9+w)
=24-6w-3=9w-27-3w
=21-6w=6w-27
=21+27=6w+6w
=48=12w
=w=48/12=4
thus, w=4.
Hope it helps!!!!!