Solve (3/4t+9/4)*4=3*(4-3t)

$$( \frac { 3 } { 4 } t + \frac { 9 } { 4 } ) \times 4 = 3 \times ( 4 - 3 t )$$

Solve for t

$$t=\frac{1}{4}=0.25$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{3}{4}t+\frac{9}{4} by 4.

$$\frac{3}{4}t\times 4+\frac{9}{4}\times 4=3\left(4-3t\right)$$

Cancel out 4 and 4.

$$3t+\frac{9}{4}\times 4=3\left(4-3t\right)$$

Cancel out 4 and 4.

$$3t+9=3\left(4-3t\right)$$

Use the distributive property to multiply 3 by 4-3t.

$$3t+9=12-9t$$

Add 9t to both sides.

$$3t+9+9t=12$$

Combine 3t and 9t to get 12t.

$$12t+9=12$$

Subtract 9 from both sides.

$$12t=12-9$$

Subtract 9 from 12 to get 3.

$$12t=3$$

Divide both sides by 12.

$$t=\frac{3}{12}$$

Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.

$$t=\frac{1}{4}$$