Solve m+10=4*(a+10)

$$m + 10 = 4 \cdot ( a + 10 )$$

Solve for a

$$a=\frac{m-30}{4}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by a+10.

$$m+10=4a+40$$

Swap sides so that all variable terms are on the left hand side.

$$4a+40=m+10$$

Subtract 40 from both sides.

$$4a=m+10-40$$

Subtract 40 from 10 to get -30.

$$4a=m-30$$

Divide both sides by 4.

$$\frac{4a}{4}=\frac{m-30}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$a=\frac{m-30}{4}$$

Divide m-30 by 4.

$$a=\frac{m}{4}-\frac{15}{2}$$

Solve for m

$$m=4a+30$$

Solution Steps

Use the distributive property to multiply 4 by a+10.

$$m+10=4a+40$$

Subtract 10 from both sides.

$$m=4a+40-10$$

Subtract 10 from 40 to get 30.

$$m=4a+30$$