Solve for w -2w+14w+3=8w+27

$- 2 w + 14 w + 3 = 8 w + 27$

Add $- 2 w$ and $14 w$ .

$12 w + 3 = 8 w + 27$

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

Subtract $8 w$ from both sides of the equation.

$12 w + 3 - 8 w = 27$

Subtract $8 w$ from $12 w$ .

$4 w + 3 = 27$

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

Subtract $3$ from both sides of the equation.

$4 w = 27 - 3$

Subtract $3$ from $27$ .

$4 w = 24$

Divide each term in $4 w = 24$ by $4$ and simplify.

Divide each term in $4 w = 24$ by $4$ .

$\frac{4 w}{4} = \frac{24}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 w}{4} = \frac{24}{4}$

Divide $w$ by $1$ .

$w = \frac{24}{4}$

Simplify the right side.

Divide $24$ by $4$ .

$w = 6$