4. Solving Equations With Variables on Both Sides
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To solve an equation, we should first gather all of the variable terms on one side and all of the constant terms on the other side using the Properties of Equality.
LHS+9b=RHS+9b
Add terms
LHS-4=RHS-4
Subtract terms
.LHS /11.=.RHS /11.
Calculate quotient
The solution to the equation is b=-2. We can check our solution by substituting it into the original equation.
b= -2
Multiply
Add terms
Since the left-hand side is equal to the right-hand side, our solution is correct.