Question 178886
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*[tex \Large v-4(4-v)= -2(2v-1) ]


Look at it this way:



*[tex \Large v + (-4)(4 + (-v))= (-2)(2v + (-1)) ]


...which might keep the signs straight for you.


First multiply across the parentheses using the distributive property:  *[tex \Large a(b + c) = ab + ac] 


*[tex \Large v + (-16) + (4v) = -4v + 2]


Add 4v to both sides and add 16 to both sides:


*[tex \Large v + 4v + 4v + (-16) + 16 = -4v + 4v + 2 + 16]


Collect terms:


*[tex \Large 9v = 18]


Multiply both sides by *[tex \Large {1 \over 9}]


*[tex \Large \left({1 \over 9}\right)(9v) = (18)\left({1 \over 9}\right)] 



*[tex \Large v = 2]





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