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.

7z - 2 = 4 - 4z
7z = 4 - 4z + 2
7z + 4z = 4 + 2
11z = 6
z = \( \frac{6}{11} \)
z = \(\frac{6}{11}\)

The volume of a cube is height x length x width:

v = h x l x w
v = 5 x 2 x 1
v = 10

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 > sign and the answer on the other.

-7c + 9 > 6 - 6c
-7c > 6 - 6c - 9
-7c + 6c > 6 - 9
-c > -3
c > \( \frac{-3}{-1} \)
c > 3

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.

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

5a + 4a = 9a