Solve 8t+4(t-2)=-2-6(2t+9)

$$8 t + 4 ( t - 2 ) = - 2 - 6 ( 2 t + 9 )$$

Solve for t

$$t=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by t-2.

$$8t+4t-8=-2-6\left(2t+9\right)$$

Combine 8t and 4t to get 12t.

$$12t-8=-2-6\left(2t+9\right)$$

Use the distributive property to multiply -6 by 2t+9.

$$12t-8=-2-12t-54$$

Subtract 54 from -2 to get -56.

$$12t-8=-56-12t$$

Add 12t to both sides.

$$12t-8+12t=-56$$

Combine 12t and 12t to get 24t.

$$24t-8=-56$$

Add 8 to both sides.

$$24t=-56+8$$

Add -56 and 8 to get -48.

$$24t=-48$$

Divide both sides by 24.

$$t=\frac{-48}{24}$$

Divide -48 by 24 to get -2.

$$t=-2$$