Math Linear Algebra Help

Example 1:

Simplify the linear algebra homework expression.

-4(z - 3) - 5z - 2 = 4(z + 3) - 3z

Solution:

Given
-4(z - 3) - 5z - 2 = 4(z + 3) - 3z

Multiply factors
-4z + 12 - 5z - 2 = 4z + 12 - 3z

Grouping the above terms
-9z + 10 = z + 12

Subtract 10 on both sides
-9z + 10 - 10 = z + 12 -10

Grouping the above terms
-9z = z + 2

Subtract z on both sides
-9z - z = z + 2 -z

Grouping the above terms
-8z = 2

Multiply both sides by -1/8

is the solution.