Answer:
w = (-6)/7
Step-by-step explanation:
Solve for w:
-w/2 - 3/5 = w/5
Hint: | Put the fractions in -w/2 - 3/5 over a common denominator.
Put each term in -w/2 - 3/5 over the common denominator 10: -w/2 - 3/5 = (-5 w)/10 - 6/10:
(-5 w)/10 - 6/10 = w/5
Hint: | Combine (-5 w)/10 - 6/10 into a single fraction.
(-5 w)/10 - 6/10 = (-5 w - 6)/10:
(-5 w - 6)/10 = w/5
Hint: | Make (-5 w - 6)/10 = w/5 simpler by multiplying both sides by a constant.
Multiply both sides by 10:
(10 (-5 w - 6))/10 = 2 w
Hint: | Cancel common terms in the numerator and denominator of (10 (-5 w - 6))/10.
(10 (-5 w - 6))/10 = 10/10×(-5 w - 6) = -5 w - 6:
-5 w - 6 = (10 w)/5
Hint: | In (10 w)/5, divide 10 in the numerator by 5 in the denominator.
10/5 = (5×2)/5 = 2:
-5 w - 6 = 2 w
Hint: | Move terms with w to the left hand side.
Subtract 2 w from both sides:
(-5 w - 2 w) - 6 = 2 w - 2 w
Hint: | Combine like terms in -5 w - 2 w.
-5 w - 2 w = -7 w:
-7 w - 6 = 2 w - 2 w
Hint: | Look for the difference of two identical terms.
2 w - 2 w = 0:
-7 w - 6 = 0
Hint: | Isolate terms with w to the left hand side.
Add 6 to both sides:
(6 - 6) - 7 w = 6
Hint: | Look for the difference of two identical terms.
6 - 6 = 0:
-7 w = 6
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of -7 w = 6 by -7:
(-7 w)/(-7) = 6/(-7)
Hint: | Any nonzero number divided by itself is one.
(-7)/(-7) = 1:
w = 6/(-7)
Hint: | Simplify the sign of 6/(-7).
Multiply numerator and denominator of 6/(-7) by -1:
Answer: w = (-6)/7
Answer:
-5/10w - 3/5 = 2/10w
- 3/5 = 7/10w
-30 = 35w
-30/35 = w
-6/7 = w
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Hope this helps!! - Maddy
(if this helps please make brainliest, rate, and thank so I know how I did!)
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