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10v+4=1\times 10+7
Multiply both sides of the equation by 10, the least common multiple of 5,10.
10v+4=10+7
Multiply 1 and 10 to get 10.
10v+4=17
Add 10 and 7 to get 17.
10v=17-4
Subtract 4 from both sides.
10v=13
Subtract 4 from 17 to get 13.
v=\frac{13}{10}
Divide both sides by 10.