Solve 4-7(t+6)=5(t-1)-25t

$$4 - 7 ( t + 6 ) = 5 ( t - 1 ) - 25 t$$

Solve for t

$$t = \frac{33}{13} = 2\frac{7}{13} \approx 2.538461538$$

Steps for Solving Linear Equation

Use the distributive property to multiply -7 by t+6.

$$4-7t-42=5\left(t-1\right)-25t$$

Subtract 42 from 4 to get -38.

$$-38-7t=5\left(t-1\right)-25t$$

Use the distributive property to multiply 5 by t-1.

$$-38-7t=5t-5-25t$$

Combine 5t and -25t to get -20t.

$$-38-7t=-20t-5$$

Add 20t to both sides.

$$-38-7t+20t=-5$$

Combine -7t and 20t to get 13t.

$$-38+13t=-5$$

Add 38 to both sides.

$$13t=-5+38$$

Add -5 and 38 to get 33.

$$13t=33$$

Divide both sides by 13.

$$t=\frac{33}{13}$$