Question

Use a calculator to solve the equation. Check your solution.

$-130.5-9b=-55.104+3.2b$

Short answer

The solution for the equation is $b=-6.18$

Step-by-step solution

Step-1 – Given

The given equation is $0.75m+14=1.87m-10.3936$.

Step-2 – To determine

We have to solve the equation using a calculator

Step-3 – Calculation

We first make one side equal to 0.

$\begin{array}{l}-130.5-9b=-55.104+3.2b\\ -130.5-9b+55.104=-55.104+3.2b+55.104\text{[Add55.104fromeachsides]}\\ -75.396-9b=3.2b\text{[Simplify]}\\ -75.396-9b-3.2b=3.2b-3.2b\text{[Subtract}3.2b\text{fromeachsides]}\\ -75.396-12.2b=0\text{[Simplify]}\end{array}$

Then we add 75.396 to both sides

So, we get: $-12.2b=75.396$

Then divide both sides by $-12.2$

$\begin{array}{l}\frac{-12.2b}{-12.2}=\frac{75.396}{-12.2}\\ b=-6.18\end{array}$

So the solution of the equation is $b=-6.18$