Verified Answer :

Leader

\(- \frac{2}{9} = a + \frac{7}{6}\)

Take 7/6 to the other side

\(- \frac{2}{9} - \frac{7}{6} = a\)

Make both fractions have the same denominator

\(a = - \frac{2 \times 2}{9 \times 2} - \frac{7 \times 3}{6 \times 3}\)

Simplify

\(a = - \frac{25}{18}\)


The second question.

\(a + \frac{7}{6} = \frac{3}{4}\)

Bring 7/6 to the other side

\(a = \frac{3}{4} - \frac{7}{6}\)

Make both fractions have similar denominators.

\(a = \frac{3 \times 3}{4 \times 4} - \frac{7 \times 2}{6 \times 2}\)

Simplify

\(a = - \frac{5}{12}\)

TSO

The first question -
\(- \frac{2}{9} = a + \frac{7}{6}\)
\(- \frac{2}{9} - \frac{7}{6} = a\)
\(a = - \frac{4}{18} - \frac{21}{18}\)
\(a = - \frac{25}{18}\)
\(a = - 1 \frac{7}{18}\)

The second question -
\(a + \frac{7}{6} = \frac{3}{4}\)
\(a = \frac{3}{4} - \frac{7}{6}\)
\(a = \frac{9}{12} - \frac{14}{12}\)
\(a = - \frac{5}{12}\)

Hope that helps :)