Solve for d 1.8(6.4d+4)=1.6(8.3d+6.7)

$1.8 (6.4 d + 4) = 1.6 (8.3 d + 6.7)$

Step 1

Simplify $1.8 (6.4 d + 4)$ .

Start simplifying.

$0 + 0 + 1.8 (6.4 d + 4) = 1.6 (8.3 d + 6.7)$

Simplify by adding zeros.

$1.8 (6.4 d + 4) = 1.6 (8.3 d + 6.7)$

Apply the distributive property.

$1.8 (6.4 d) + 1.8 \cdot 4 = 1.6 (8.3 d + 6.7)$

Multiply.

Multiply $6.4$ by $1.8$ .

$11.52 d + 1.8 \cdot 4 = 1.6 (8.3 d + 6.7)$

Multiply $1.8$ by $4$ .

$11.52 d + 7.2 = 1.6 (8.3 d + 6.7)$

Step 2

Simplify $1.6 (8.3 d + 6.7)$ .

Apply the distributive property.

$11.52 d + 7.2 = 1.6 (8.3 d) + 1.6 \cdot 6.7$

Multiply.

Multiply $8.3$ by $1.6$ .

$11.52 d + 7.2 = 13.28 d + 1.6 \cdot 6.7$

Multiply $1.6$ by $6.7$ .

$11.52 d + 7.2 = 13.28 d + 10.72$

Step 3

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

Subtract $13.28 d$ from both sides of the equation.

$11.52 d + 7.2 - 13.28 d = 10.72$

Subtract $13.28 d$ from $11.52 d$ .

$- 1.76 d + 7.2 = 10.72$

Step 4

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

Subtract $7.2$ from both sides of the equation.

$- 1.76 d = 10.72 - 7.2$

Subtract $7.2$ from $10.72$ .

$- 1.76 d = 3.52$

Step 5

Divide each term in $- 1.76 d = 3.52$ by $- 1.76$ and simplify.

Divide each term in $- 1.76 d = 3.52$ by $- 1.76$ .

$\frac{- 1.76 d}{- 1.76} = \frac{3.52}{- 1.76}$

Simplify the left side.

Cancel the common factor of $- 1.76$ .

Cancel the common factor.

$\frac{- 1.76 d}{- 1.76} = \frac{3.52}{- 1.76}$

Divide $d$ by $1$ .

$d = \frac{3.52}{- 1.76}$

Simplify the right side.

Divide $3.52$ by $- 1.76$ .

$d = - 2$

Solve for d 1.8(6.4d+4)=1.6(8.3d+6.7)

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