Solve the inequality for $v$.
\[
-23+7(5-v) \leq-3(v+4)
\]
Simplify your answer as much as possible.

Answer

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Answer

Final Answer: $v \leq \boxed{6}$

Steps

Step 1 ：Distribute the 7 on the left side and the -3 on the right side of the inequality to get $-23 + 35 - 7v \leq -3v - 12$.

Step 2 ：Combine like terms to get $12 - 7v \leq -3v - 12$.

Step 3 ：Isolate the variable $v$ on one side of the inequality to get $v = 6$.

Step 4 ：Check if this value satisfies the original inequality. Substituting $v = 6$ into the original inequality, we find that it holds true.

Step 5 ：Thus, the solution to the inequality is $v \leq 6$.

Step 6 ：Final Answer: $v \leq \boxed{6}$