Solve for t 7(4-t)=(-84)

$7 (4 - t) = (- 84)$

Divide each term by $7$ and simplify.

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Divide each term in $7 (4 - t) = - 84$ by $7$ .

$\frac{7 (4 - t)}{7} = \frac{- 84}{7}$

Cancel the common factor of $7$ .

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Cancel the common factor.

$\frac{7 (4 - t)}{7} = \frac{- 84}{7}$

Divide $4 - t$ by $1$ .

$4 - t = \frac{- 84}{7}$

Divide $- 84$ by $7$ .

$4 - t = - 12$

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

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Subtract $4$ from both sides of the equation.

$- t = - 12 - 4$

Subtract $4$ from $- 12$ .

$- t = - 16$

Multiply each term in $- t = - 16$ by $- 1$

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Multiply each term in $- t = - 16$ by $- 1$ .

$(- t) \cdot - 1 = (- 16) \cdot - 1$

Multiply $(- t) \cdot - 1$ .

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Multiply $- 1$ by $- 1$ .

$1 t = (- 16) \cdot - 1$

Multiply $t$ by $1$ .

$t = (- 16) \cdot - 1$

Multiply $- 16$ by $- 1$ .

$t = 16$

Solve for t 7(4-t)=(-84)