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\left(v-7\right)\times 5+7=2
Variable v cannot be equal to 7 since division by zero is not defined. Multiply both sides of the equation by v-7.
5v-35+7=2
Use the distributive property to multiply v-7 by 5.
5v-28=2
Add -35 and 7 to get -28.
5v=2+28
Add 28 to both sides.
5v=30
Add 2 and 28 to get 30.
v=\frac{30}{5}
Divide both sides by 5.
v=6
Divide 30 by 5 to get 6.