Question

solve the equation.
\frac{3}{5}(t + 27) = -3(5 - t)

t = \square

Explanation:

Step1: Eliminate fraction, multiply by 5

$$5 \times \frac{3}{5}(t) = 5 \times -3(5 - t)$$
$$3t = -15(5 - t)$$

Step2: Expand right-hand side

$$3t = -75 + 15t$$

Step3: Rearrange terms to isolate t

$$3t - 15t = -75$$
$$-12t = -75$$

Step4: Solve for t, divide by -12

$$t = \frac{-75}{-12} = \frac{25}{4}$$

Answer:

$\frac{25}{4}$ or $6.25$