Solve for t 2-16t=6(-3t+2)

$2 - 16 t = 6 (- 3 t + 2)$

Simplify $6 (- 3 t + 2)$ .

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Apply the distributive property.

$2 - 16 t = 6 (- 3 t) + 6 \cdot 2$

Multiply.

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Multiply $- 3$ by $6$ .

$2 - 16 t = - 18 t + 6 \cdot 2$

Multiply $6$ by $2$ .

$2 - 16 t = - 18 t + 12$

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

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Add $- 18 t$ to both sides of the equation.

$2 - 16 t + 18 t = 12$

Add $- 16 t$ and $18 t$ .

$2 + 2 t = 12$

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

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Subtract $2$ from both sides of the equation.

$2 t = 12 - 2$

Subtract $2$ from $12$ .

$2 t = 10$

Divide each term by $2$ and simplify.

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Divide each term in $2 t = 10$ by $2$ .

$\frac{2 t}{2} = \frac{10}{2}$

Cancel the common factor of $2$ .

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Cancel the common factor.

$\frac{2 t}{2} = \frac{10}{2}$

Divide $t$ by $1$ .

$t = \frac{10}{2}$

Divide $10$ by $2$ .

$t = 5$

Solve for t 2-16t=6(-3t+2)

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