To solve for b in the equation r=2(b+a), we need to isolate b on one side of the equation. This can be done by first dividing both sides by 2 to get rid of the coefficient in front of the parentheses, and then subtracting a from both sides to solve for b.
Step 1: Isolate the Expression for b
Given the equation:
r=2(b+a)
First, divide both sides by 2 to eliminate the coefficient in front of the parentheses:
2r=b+a
Step 2: Solve for b
Next, subtract a from both sides to isolate b:
b=2r−a
Step 3: Substitute the Given Values
Substitute the given values r=10 and a=3 into the equation: