Solve for t -6-2t-8t=-9t+1

$- 6 - 2 t - 8 t = - 9 t + 1$

Subtract $8 t$ from $- 2 t$ .

$- 6 - 10 t = - 9 t + 1$

Move all terms containing $t$ to the left side of the equation.

Add $9 t$ to both sides of the equation.

$- 6 - 10 t + 9 t = 1$

Add $- 10 t$ and $9 t$ .

$- 6 - t = 1$

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

Add $6$ to both sides of the equation.

$- t = 1 + 6$

Add $1$ and $6$ .

$- t = 7$

Divide each term in $- t = 7$ by $- 1$ and simplify.

Divide each term in $- t = 7$ by $- 1$ .

$\frac{- t}{- 1} = \frac{7}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{t}{1} = \frac{7}{- 1}$

Divide $t$ by $1$ .

$t = \frac{7}{- 1}$

Simplify the right side.

Divide $7$ by $- 1$ .

$t = - 7$