Question
$$45+\frac{z}{11} = 51$$
Answer
$$ z = 66 $$
Explanation
$$ \begin{aligned} 45+\frac{z}{11} &= 51&& \text{multiply ALL terms by } \color{blue}{ 11 }. \\[1 em]11\cdot45+11 \cdot \frac{z}{11} &= 11\cdot51&& \text{cancel out the denominators} \\[1 em]495+z &= 561&& \text{ move 495 to the right } \\[1 em]z &= 561-495&& \\[1 em]z &= 66&& \\[1 em]z &= 66&& \\[1 em] \end{aligned} $$
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