$$ \begin{aligned} \frac{t}{14}+\frac{t}{35} &= 1&& \text{multiply ALL terms by } \color{blue}{ 70 }. \\[1 em]70 \cdot \frac{t}{14}+70\frac{t}{35} &= 70\cdot1&& \text{cancel out the denominators} \\[1 em]5t+2t &= 70&& \text{simplify left side} \\[1 em]7t &= 70&& \text{ divide both sides by $ 7 $ } \\[1 em]t &= \frac{70}{7}&& \\[1 em]t &= 10&& \\[1 em] \end{aligned} $$

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