Solve for m -m+0.02+2.1m=-1.45-4.81m

$- m + 0.02 + 2.1 m = - 1.45 - 4.81 m$

Step 1

Add $- m$ and $2.1 m$ .

$1.1 m + 0.02 = - 1.45 - 4.81 m$

Step 2

Move all terms containing $m$ to the left side of the equation.

Add $4.81 m$ to both sides of the equation.

$1.1 m + 0.02 + 4.81 m = - 1.45$

Add $1.1 m$ and $4.81 m$ .

$5.91 m + 0.02 = - 1.45$

Step 3

Move all terms not containing $m$ to the right side of the equation.

Subtract $0.02$ from both sides of the equation.

$5.91 m = - 1.45 - 0.02$

Subtract $0.02$ from $- 1.45$ .

$5.91 m = - 1.47$

Step 4

Divide each term in $5.91 m = - 1.47$ by $5.91$ and simplify.

Divide each term in $5.91 m = - 1.47$ by $5.91$ .

$\frac{5.91 m}{5.91} = \frac{- 1.47}{5.91}$

Simplify the left side.

Cancel the common factor of $5.91$ .

Cancel the common factor.

$\frac{5.91 m}{5.91} = \frac{- 1.47}{5.91}$

Divide $m$ by $1$ .

$m = \frac{- 1.47}{5.91}$

Simplify the right side.

Divide $- 1.47$ by $5.91$ .

$m = - 0.24873096$