Question

1. solve the following equation: \\(\frac{a - 7}{8} = 6\\)

Explanation:

Step1: Multiply both sides by 8

To eliminate the denominator, we multiply both sides of the equation \(\frac{a - 7}{8}=6\) by 8. This gives us \(8\times\frac{a - 7}{8}=6\times8\). Simplifying the left side, the 8s cancel out, so we have \(a - 7 = 48\).

Step2: Add 7 to both sides

To solve for \(a\), we add 7 to both sides of the equation \(a - 7 = 48\). So, \(a-7 + 7=48 + 7\), which simplifies to \(a = 55\).

Answer:

\(a = 55\)