Solve for t 1.08(2t+2.50)+3=13.80

$1.08 (2 t + 2.5) + 3 = 13.8$

Step 1

Simplify $1.08 (2 t + 2.5) + 3$ .

Simplify each term.

Apply the distributive property.

$1.08 (2 t) + 1.08 \cdot 2.5 + 3 = 13.8$

Multiply $2$ by $1.08$ .

$2.16 t + 1.08 \cdot 2.5 + 3 = 13.8$

Multiply $1.08$ by $2.5$ .

$2.16 t + 2.7 + 3 = 13.8$

Add $2.7$ and $3$ .

$2.16 t + 5.7 = 13.8$

Step 2

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

Subtract $5.7$ from both sides of the equation.

$2.16 t = 13.8 - 5.7$

Subtract $5.7$ from $13.8$ .

$2.16 t = 8.1$

Step 3

Divide each term in $2.16 t = 8.1$ by $2.16$ and simplify.

Divide each term in $2.16 t = 8.1$ by $2.16$ .

$\frac{2.16 t}{2.16} = \frac{8.1}{2.16}$

Simplify the left side.

Cancel the common factor of $2.16$ .

Cancel the common factor.

$\frac{2.16 t}{2.16} = \frac{8.1}{2.16}$

Divide $t$ by $1$ .

$t = \frac{8.1}{2.16}$

Simplify the right side.

Divide $8.1$ by $2.16$ .

$t = 3.75$