Solve for b 0.24+1.9b=0.6(4b+7.1)+0.48

$0.24 + 1.9 b = 0.6 (4 b + 7.1) + 0.48$

Step 1

Simplify $0.6 (4 b + 7.1) + 0.48$ .

Simplify each term.

Apply the distributive property.

$0.24 + 1.9 b = 0.6 (4 b) + 0.6 \cdot 7.1 + 0.48$

Multiply $4$ by $0.6$ .

$0.24 + 1.9 b = 2.4 b + 0.6 \cdot 7.1 + 0.48$

Multiply $0.6$ by $7.1$ .

$0.24 + 1.9 b = 2.4 b + 4.26 + 0.48$

Add $4.26$ and $0.48$ .

$0.24 + 1.9 b = 2.4 b + 4.74$

Step 2

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

Subtract $2.4 b$ from both sides of the equation.

$0.24 + 1.9 b - 2.4 b = 4.74$

Subtract $2.4 b$ from $1.9 b$ .

$0.24 - 0.5 b = 4.74$

Step 3

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

Subtract $0.24$ from both sides of the equation.

$- 0.5 b = 4.74 - 0.24$

Subtract $0.24$ from $4.74$ .

$- 0.5 b = 4.5$

Step 4

Divide each term in $- 0.5 b = 4.5$ by $- 0.5$ and simplify.

Divide each term in $- 0.5 b = 4.5$ by $- 0.5$ .

$\frac{- 0.5 b}{- 0.5} = \frac{4.5}{- 0.5}$

Simplify the left side.

Cancel the common factor of $- 0.5$ .

Cancel the common factor.

$\frac{- 0.5 b}{- 0.5} = \frac{4.5}{- 0.5}$

Divide $b$ by $1$ .

$b = \frac{4.5}{- 0.5}$

Simplify the right side.

Divide $4.5$ by $- 0.5$ .

$b = - 9$