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7v-42-7<7
Use the distributive property to multiply 7 by v-6.
7v-49<7
Subtract 7 from -42 to get -49.
7v<7+49
Add 49 to both sides.
7v<56
Add 7 and 49 to get 56.
v<\frac{56}{7}
Divide both sides by 7. Since 7 is positive, the inequality direction remains the same.
v<8
Divide 56 by 7 to get 8.