1. **Problem:** Solve the equation $x + 2 = -17$. 2. **Formula:** To isolate $x$, subtract 2 from both sides: $x + 2 - 2 = -17 - 2$. 3. **Intermediate step:** $$x + \cancel{2} - \cancel{2} = -17 - 2$$ 4. **Simplify:** $$x = -19$$ --- 1. **Problem:** Solve the equation $-13 = m - 3$. 2. **Formula:** Add 3 to both sides to isolate $m$: $-13 + 3 = m - 3 + 3$. 3. **Intermediate step:** $$-13 + 3 = m - \cancel{3} + \cancel{3}$$ 4. **Simplify:** $$-10 = m$$ --- 1. **Problem:** Solve the equation $p - 3 = -8$. 2. **Formula:** Add 3 to both sides: $p - 3 + 3 = -8 + 3$. 3. **Intermediate step:** $$p - \cancel{3} + \cancel{3} = -8 + 3$$ 4. **Simplify:** $$p = -5$$ --- 1. **Problem:** Solve the equation $k + 3 = -3$. 2. **Formula:** Subtract 3 from both sides: $k + 3 - 3 = -3 - 3$. 3. **Intermediate step:** $$k + \cancel{3} - \cancel{3} = -3 - 3$$ 4. **Simplify:** $$k = -6$$ --- 1. **Problem:** Solve the equation $y - 2 = -2$. 2. **Formula:** Add 2 to both sides: $y - 2 + 2 = -2 + 2$. 3. **Intermediate step:** $$y - \cancel{2} + \cancel{2} = -2 + 2$$ 4. **Simplify:** $$y = 0$$ --- 1. **Problem:** Solve the equation $z + 9 = -3$. 2. **Formula:** Subtract 9 from both sides: $z + 9 - 9 = -3 - 9$. 3. **Intermediate step:** $$z + \cancel{9} - \cancel{9} = -3 - 9$$ 4. **Simplify:** $$z = -12$$ --- 1. **Problem:** Solve the equation $-4 = m - 5$. 2. **Formula:** Add 5 to both sides: $-4 + 5 = m - 5 + 5$. 3. **Intermediate step:** $$-4 + 5 = m - \cancel{5} + \cancel{5}$$ 4. **Simplify:** $$1 = m$$ --- 1. **Problem:** Solve the equation $-7 = y + 8$. 2. **Formula:** Subtract 8 from both sides: $-7 - 8 = y + 8 - 8$. 3. **Intermediate step:** $$-7 - 8 = y + \cancel{8} - \cancel{8}$$ 4. **Simplify:** $$-15 = y$$ --- 1. **Problem:** Solve the equation $e + 10 = -3$. 2. **Formula:** Subtract 10 from both sides: $e + 10 - 10 = -3 - 10$. 3. **Intermediate step:** $$e + \cancel{10} - \cancel{10} = -3 - 10$$ 4. **Simplify:** $$e = -13$$ --- 1. **Problem:** Solve the equation $8 + r = -8$. 2. **Formula:** Subtract 8 from both sides: $8 + r - 8 = -8 - 8$. 3. **Intermediate step:** $$\cancel{8} + r - \cancel{8} = -8 - 8$$ 4. **Simplify:** $$r = -16$$