Given the equation:
[tex]-7(u\text{ + }4)\text{ = 35}[/tex]
Step 1:
Open the parentheses on the left hand side of the equation.
[tex]-7u-28\text{ = 35 (Disributive property)}[/tex]
Step 2:
Add 28 to both sides of the equation.
[tex]-7u-28+28\text{ = 35+28 (Addition }Property\text{ of Equality)}[/tex]
Step 3:
Simplify,
[tex]\begin{gathered} -7u+0\text{ = 63} \\ -7u\text{ = 63 (simplifying)} \end{gathered}[/tex]
Step 4:
Divide both sides by the coefficient of u.
The coefficient of u is -7.
[tex]\frac{-7u}{-7}=\frac{63}{-7}\text{ (Division Property of Equality)}[/tex]
Step 5:
Simplify,
[tex]u=-9\text{ (Simplifying)}[/tex]
