Why is it important to keep the two sides of an equation balanced when solving? What other properties do we use to rewrite expressions and equations?

Apark is in the shape of a rectangle. the park authorities are planning to build a 2-meter-wide jogging path in the park (shown as the shaded region in the image). what is the area of the jogging path? plz

Which of the following is the result of expanding the series

Formulate alisha has a number in mind. if she adds three to her number the result is less than five. use this information to write and solve an inequality about alisha's number. then graph the solution set.