1. Solve the equation for the variable x: $4x + 9 = 7x - 3$. $x$ = ___
2. Solve the following equation for y: $3(2y - 5) = 4y + 1$. $y$ = ___
3. What is the result after simplifying both sides of the equation $2(a + 5) - 3 = 3(a - 1) + a$?
4. Solve the equation for the variable z: $5(z - 3) + 2 = 2(3z + 1) - 4$. $z$ = ___
5. Solve the equation for k, expressing your answer as a fraction if necessary: $8k - 10 = 5k - 2$. $k$ = ___
6. Solve for $x$ in the following equation: $10 - (2x + 5) = x$. The value of $x$ is ___.
7. Solve for the variable $z$: $3z = -4(z - 5)$. The value of $z$ is ___.
8. Solve the equation for $m$: $8 - (4m - 3) = 1$. The value of $m$ is ___.
9. What is the value of $k$ in the equation $9k - (2k + 5) = 16$?
10. Solve for $p$ in the equation $6p = 20 - (4p + 10)$. The value of $p$ is ___.