$$ \begin{aligned} -5+\frac{t}{2} &= 14&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]-2\cdot5+2 \cdot \frac{t}{2} &= 2\cdot14&& \text{cancel out the denominators} \\[1 em]-10+t &= 28&& \text{ move -10 to the right } \\[1 em]t &= 28+10&& \\[1 em]t &= 38&& \\[1 em]t &= 38&& \\[1 em] \end{aligned} $$
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