Solve 25(0.1m+10.1)-141+7(0.5m+10.1)=2m

$$25 ( 0.1 m + 10.1 ) - 141 + 7 ( 0.5 m + 10.1 ) = 2 m$$

Solve for m

$$m=-45.55$$

Steps for Solving Linear Equation

Use the distributive property to multiply 25 by 0.1m+10.1.

$$2.5m+252.5-141+7\left(0.5m+10.1\right)=2m$$

Subtract 141 from 252.5 to get 111.5.

$$2.5m+111.5+7\left(0.5m+10.1\right)=2m$$

Use the distributive property to multiply 7 by 0.5m+10.1.

$$2.5m+111.5+3.5m+70.7=2m$$

Combine 2.5m and 3.5m to get 6m.

$$6m+111.5+70.7=2m$$

Add 111.5 and 70.7 to get 182.2.

$$6m+182.2=2m$$

Subtract 2m from both sides.

$$6m+182.2-2m=0$$

Combine 6m and -2m to get 4m.

$$4m+182.2=0$$

Subtract 182.2 from both sides. Anything subtracted from zero gives its negation.

$$4m=-182.2$$

Divide both sides by 4.

$$m=\frac{-182.2}{4}$$

Expand \frac{-182.2}{4} by multiplying both numerator and the denominator by 10.

$$m=\frac{-1822}{40}$$

Reduce the fraction \frac{-1822}{40} to lowest terms by extracting and canceling out 2.

$$m=-\frac{911}{20}$$