Solve 2-(3pi+4)-(5pi-6)-(7m-8)-(9-10)=11

$$2 - ( 3 \pi + 4 ) - ( 5 \pi - 6 ) - ( 7 m - 8 ) - ( 9 - 10 ) = 11$$

Solve for m

$$m=\frac{2-8\pi }{7}\approx -3.304677318$$

Steps for Solving Linear Equation

To find the opposite of 3\pi +4, find the opposite of each term.

$$2-3\pi -4-\left(5\pi -6\right)-\left(7m-8\right)-\left(9-10\right)=11$$

Subtract 4 from 2 to get -2.

$$-2-3\pi -\left(5\pi -6\right)-\left(7m-8\right)-\left(9-10\right)=11$$

To find the opposite of 5\pi -6, find the opposite of each term.

$$-2-3\pi -5\pi -\left(-6\right)-\left(7m-8\right)-\left(9-10\right)=11$$

Combine -3\pi and -5\pi to get -8\pi .

$$-2-8\pi -\left(-6\right)-\left(7m-8\right)-\left(9-10\right)=11$$

The opposite of -6 is 6.

$$-2-8\pi +6-\left(7m-8\right)-\left(9-10\right)=11$$

Add -2 and 6 to get 4.

$$4-8\pi -\left(7m-8\right)-\left(9-10\right)=11$$

To find the opposite of 7m-8, find the opposite of each term.

$$4-8\pi -7m-\left(-8\right)-\left(9-10\right)=11$$

The opposite of -8 is 8.

$$4-8\pi -7m+8-\left(9-10\right)=11$$

Add 4 and 8 to get 12.

$$12-8\pi -7m-\left(9-10\right)=11$$

Subtract 10 from 9 to get -1.

$$12-8\pi -7m-\left(-1\right)=11$$

The opposite of -1 is 1.

$$12-8\pi -7m+1=11$$

Add 12 and 1 to get 13.

$$13-8\pi -7m=11$$

Subtract 13 from both sides.

$$-8\pi -7m=11-13$$

Subtract 13 from 11 to get -2.

$$-8\pi -7m=-2$$

Add 8\pi to both sides.

$$-7m=-2+8\pi$$

The equation is in standard form.

$$-7m=8\pi -2$$

Divide both sides by -7.

$$\frac{-7m}{-7}=\frac{8\pi -2}{-7}$$

Dividing by -7 undoes the multiplication by -7.

$$m=\frac{8\pi -2}{-7}$$

Divide -2+8\pi by -7.

$$m=\frac{2-8\pi }{7}$$