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: $v \leq 6$

Steps

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

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

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: $v \leq 6$