To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

2z - 3 = -5 + 5z
2z = -5 + 5z + 3
2z - 5z = -5 + 3
-3z = -2
z = \( \frac{-2}{-3} \)
z = \(\frac{2}{3}\)

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s²).

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.

To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.

-8b + 5z = 2b + 3z - 1
-8b = 2b + 3z - 1 - 5z
-8b - 2b = 3z - 1 - 5z
-10b = -2z - 1
b = \( \frac{-2z - 1}{-10} \)
b = \( \frac{-2z}{-10} \) + \( \frac{-1}{-10} \)
b = \(\frac{1}{5}\)z + \(\frac{1}{10}\)

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).