Question

determine the value of r that makes the equation true. -0.6r - 0.4=-1.4 - 0.8r

Explanation:

Step1: Combine like - terms

Combine the terms with $r$ on the left - hand side of the equation $-0.6r-0.4=-1.4 - 0.8r$. Add $0.8r$ to both sides: $-0.6r + 0.8r-0.4=-1.4-0.8r + 0.8r$. This simplifies to $0.2r-0.4=-1.4$.

Step2: Isolate the term with $r$

Add $0.4$ to both sides of the equation $0.2r-0.4=-1.4$. We get $0.2r-0.4 + 0.4=-1.4 + 0.4$, which simplifies to $0.2r=-1$.

Step3: Solve for $r$

Divide both sides of the equation $0.2r=-1$ by $0.2$. So, $r=\frac{-1}{0.2}=-5$.

Answer:

$-5$