Solve for d -15+7.5(2d-1)=7.5

$- 15 + 7.5 (2 d - 1) = 7.5$

Step 1

Simplify $- 15 + 7.5 (2 d - 1)$ .

Simplify each term.

Apply the distributive property.

$- 15 + 7.5 (2 d) + 7.5 \cdot - 1 = 7.5$

Multiply $2$ by $7.5$ .

$- 15 + 15 d + 7.5 \cdot - 1 = 7.5$

Multiply $7.5$ by $- 1$ .

$- 15 + 15 d - 7.5 = 7.5$

Subtract $7.5$ from $- 15$ .

$15 d - 22.5 = 7.5$

Step 2

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

Add $22.5$ to both sides of the equation.

$15 d = 7.5 + 22.5$

Add $7.5$ and $22.5$ .

$15 d = 30$

Step 3

Divide each term in $15 d = 30$ by $15$ and simplify.

Divide each term in $15 d = 30$ by $15$ .

$\frac{15 d}{15} = \frac{30}{15}$

Simplify the left side.

Cancel the common factor of $15$ .

Cancel the common factor.

$\frac{15 d}{15} = \frac{30}{15}$

Divide $d$ by $1$ .

$d = \frac{30}{15}$

Simplify the right side.

Divide $30$ by $15$ .

$d = 2$