olve the equation.
\[
-7(v+2)+4 v+6=7 v+10
\]

Answer

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Answer

The solution to the equation is \(\boxed{-\frac{9}{5}}\).

Steps

Step 1 ：Distribute the -7 into the parentheses on the left side of the equation to get \(-7v - 14 + 4v + 6 = 7v + 10\).

Step 2 ：Combine like terms on both sides of the equation to get \(-3v - 8 = 7v + 10\).

Step 3 ：Isolate the variable v on one side of the equation by subtracting 7v from both sides to get \(-10v - 8 = 10\).

Step 4 ：Solve for v by adding 8 to both sides to get \(-10v = 18\).

Step 5 ：Finally, divide both sides of the equation by -10 to solve for v, which gives \(v = -\frac{9}{5}\).

Step 6 ：The solution to the equation is \(\boxed{-\frac{9}{5}}\).