To solve for [tex]\( v \)[/tex] in the equation [tex]\( v - 71 = 89 \)[/tex], we follow these steps:
1. Identify the equation: We start with the equation [tex]\( v - 71 = 89 \)[/tex].
2. Isolate the variable [tex]\( v \)[/tex]: To isolate [tex]\( v \)[/tex], we need to eliminate [tex]\( -71 \)[/tex] from the left side of the equation. We do this by performing the same operation on both sides of the equation.
3. Add 71 to both sides: To cancel out the [tex]\(-71\)[/tex], we add 71 to both sides of the equation:
[tex]\[
v - 71 + 71 = 89 + 71
\][/tex]
4. Simplify the equation: The left side simplifies to just [tex]\( v \)[/tex], since [tex]\(-71 + 71 = 0\)[/tex], leaving:
[tex]\[
v = 160
\][/tex]
So, the solution to the equation [tex]\( v - 71 = 89 \)[/tex] is [tex]\( v = 160 \)[/tex].
