Solve +1(-20-82+8w/3)-32+(232-262)/5=7

$$+ 1 ( \frac { - 20 - 82 + 8 w } { 3 } ) - 32 + \frac { ( 232 - 262 ) } { 5 } = 7$$

Solve for w

$$w = \frac{237}{8} = 29\frac{5}{8} = 29.625$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 3,5.

$$5\left(-20-82+8w\right)-480+3\left(232-262\right)=105$$

Subtract 82 from -20 to get -102.

$$5\left(-102+8w\right)-480+3\left(232-262\right)=105$$

Use the distributive property to multiply 5 by -102+8w.

$$-510+40w-480+3\left(232-262\right)=105$$

Subtract 480 from -510 to get -990.

$$-990+40w+3\left(232-262\right)=105$$

Subtract 262 from 232 to get -30.

$$-990+40w+3\left(-30\right)=105$$

Multiply 3 and -30 to get -90.

$$-990+40w-90=105$$

Subtract 90 from -990 to get -1080.

$$-1080+40w=105$$

Add 1080 to both sides.

$$40w=105+1080$$

Add 105 and 1080 to get 1185.

$$40w=1185$$

Divide both sides by 40.

$$w=\frac{1185}{40}$$

Reduce the fraction \frac{1185}{40} to lowest terms by extracting and canceling out 5.

$$w=\frac{237}{8}$$