solve for b. give an exact answer. 0.75(8b + 4) - 1 = 4b + 14 b =

Explanation:

Step1: Expand the left - hand side

$0.75\times8b+0.75\times4 - 1=4b + 14$ $6b+3 - 1=4b + 14$ $6b + 2=4b+14$

Step2: Move terms with b to one side

Subtract 4b from both sides: $6b-4b + 2=4b-4b + 14$ $2b+2=14$

Step3: Isolate the term with b

Subtract 2 from both sides: $2b+2 - 2=14 - 2$ $2b=12$

Step4: Solve for b

Divide both sides by 2: $\frac{2b}{2}=\frac{12}{2}$ $b = 6$

Answer:

$b = 6$