Question

2.09 - solve linear equations with decimals
due sunday by 11:59pm points 100 submitting an external tool available sep
solve an equation involving decimals by clearing the decimals
question
solve: -1(m - 2)=-3.09m - 8.45.
provide your answer below:
m = □

Explanation:

Step1: Expand the left - hand side

$-1(m - 2)=-m + 2$. So the equation becomes $-m + 2=-3.09m-8.45$.

Step2: Add $3.09m$ to both sides

$-m+3.09m + 2=-3.09m+3.09m - 8.45$. Simplifying gives $2.09m+2=-8.45$.

Step3: Subtract 2 from both sides

$2.09m+2 - 2=-8.45 - 2$. So $2.09m=-10.45$.

Step4: Divide both sides by 2.09

$m=\frac{-10.45}{2.09}$.

Answer:

$m = - 5$