SOLUTION: v-4(4-v)= -2(2v-1) HELP!
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Question 178886: v-4(4-v)= -2(2v-1) HELP!
Found 2 solutions by nerdybill, solver91311:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
v-4(4-v)= -2(2v-1)
distribute the -4 to terms inside the parenthesis on the left:
v-16+4v = -2(2v-1)
distribute the -2 to terms inside the parenthesis on the right:
v-16+4v = -4v + 2
-16+5v = -4v + 2
5v = -4v + 18
9v = 18
v = 2
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
= -2(2v-1) )
Look at it this way:
(4 + (-v))= (-2)(2v + (-1)) )
...which might keep the signs straight for you.
First multiply across the parentheses using the distributive property:  = ab + ac)
 + (4v) = -4v + 2)
Add 4v to both sides and add 16 to both sides:
 + 16 = -4v + 4v + 2 + 16)
Collect terms:
Multiply both sides by 
(9v) = (18)\left({1 \over 9}\right))
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