Solve for t 3t-6t+8-7t=-2

$3 t - 6 t + 8 - 7 t = - 2$

Step 1

Simplify $3 t - 6 t + 8 - 7 t$ .

Subtract $6 t$ from $3 t$ .

$- 3 t + 8 - 7 t = - 2$

Subtract $7 t$ from $- 3 t$ .

$- 10 t + 8 = - 2$

Step 2

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

Subtract $8$ from both sides of the equation.

$- 10 t = - 2 - 8$

Subtract $8$ from $- 2$ .

$- 10 t = - 10$

Step 3

Divide each term in $- 10 t = - 10$ by $- 10$ and simplify.

Divide each term in $- 10 t = - 10$ by $- 10$ .

$\frac{- 10 t}{- 10} = \frac{- 10}{- 10}$

Simplify the left side.

Cancel the common factor of $- 10$ .

Cancel the common factor.

$\frac{- 10 t}{- 10} = \frac{- 10}{- 10}$

Divide $t$ by $1$ .

$t = \frac{- 10}{- 10}$

Simplify the right side.

Divide $- 10$ by $- 10$ .

$t = 1$