$$ \begin{aligned} 6 &= \frac{1}{4}z-1&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot6 &= 4 \cdot \frac{1}{4}z-4\cdot1&& \text{cancel out the denominators} \\[1 em]24 &= z-4&& \text{ swap the left and right side of the equation } \\[1 em]z-4 &= 24&& \text{ move -4 to the right } \\[1 em]z &= 24+4&& \\[1 em]z &= 28&& \\[1 em]z &= 28&& \\[1 em] \end{aligned} $$

This page was created using