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.

-b + 8 = 7 - 6b
-b = 7 - 6b - 8
-b + 6b = 7 - 8
5b = -1
b = \( \frac{-1}{5} \)
b = -\(\frac{1}{5}\)

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 26° - 50° = 104°

So, d° = 50° + 104° = 154°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 26° = 154°

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.

(5a)(9ab) - (3a²)(7b)
(5 x 9)(a x a x b) - (3 x 7)(a² x b)
(45)(a¹⁺¹ x b) - (21)(a²b)
45a²b - 21a²b
24a²b

An equation is two expressions separated by an equal sign. The key to solving equations is to 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.

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.