Solve for b 0.75(8b+4)-1=4b+14

$0.75 (8 b + 4) - 1 = 4 b + 14$

Simplify $0.75 (8 b + 4) - 1$ .

Simplify each term.

Apply the distributive property.

$0.75 (8 b) + 0.75 \cdot 4 - 1 = 4 b + 14$

Multiply $8$ by $0.75$ .

$6 b + 0.75 \cdot 4 - 1 = 4 b + 14$

Multiply $0.75$ by $4$ .

$6 b + 3 - 1 = 4 b + 14$

Subtract $1$ from $3$ .

$6 b + 2 = 4 b + 14$

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

Subtract $4 b$ from both sides of the equation.

$6 b + 2 - 4 b = 14$

Subtract $4 b$ from $6 b$ .

$2 b + 2 = 14$

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

Subtract $2$ from both sides of the equation.

$2 b = 14 - 2$

Subtract $2$ from $14$ .

$2 b = 12$

Divide each term in $2 b = 12$ by $2$ and simplify.

Divide each term in $2 b = 12$ by $2$ .

$\frac{2 b}{2} = \frac{12}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 b}{2} = \frac{12}{2}$

Divide $b$ by $1$ .

$b = \frac{12}{2}$

Simplify the right side.

Divide $12$ by $2$ .

$b = 6$