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.

5z - 6 = 4 - 4z
5z = 4 - 4z + 6
5z + 4z = 4 + 6
9z = 10
z = \( \frac{10}{9} \)
z = 1\(\frac{1}{9}\)

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(7a)(5ab) - (4a²)(2b)
(7 x 5)(a x a x b) - (4 x 2)(a² x b)
(35)(a¹⁺¹ x b) - (8)(a²b)
35a²b - 8a²b
27a²b

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).

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 11cm + 10cm + 15cm = 36cm