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If $2 + 3n = 14$, find $n$.

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\begin{align*}2 + 3n &= 14\\ 3n &= 12 &(\text{subtracted }2\text{ from both sides})\\ n &= 4 &(\text{divided both sides by }3)\end{align*}

If $15 + \dfrac{v}{2}= 50$, find $v$.

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\begin{align*} 15 + \frac{v}{2} &= 50\\ \frac{v}{2} &= 35&(\text{subtracted }15\text{ from both sides})\\ v &= 70&(\text{multiplied both sides by }2)\end{align*}

If $15000 = 500 + 10x$, find $x$.

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\begin{align*}15000 &= 500 + 10x\\ 14500 &= 10x &(\text{subtracted }500\text{ from both sides})\\ x &= 1450 &(\text{divided both sides by }10\text{, and flipped})\end{align*}

If $25t - 30 = 170$, find $t$.

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\begin{align*} 25t - 30 &= 170\\ 25t &= 200 &(\text{added }30\text{ to both sides})\\t &= 8 &(\text{divided both sides by }25)\end{align*}

If $\dfrac{a}{5} + 10 = 22$, find $a$.

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\begin{align*} \frac{a}{5} + 10 &= 22\\ \frac{a}{5} &= 12&(\text{subtracted }10\text{ from both sides})\\ a &= 60&(\text{multiplied both sides by }5)\end{align*}