Solve for t 15=-2(2t-1)

$15 = - 2 (2 t - 1)$

Step 1

Rewrite the equation as $- 2 (2 t - 1) = 15$ .

$- 2 (2 t - 1) = 15$

Step 2

Divide each term in $- 2 (2 t - 1) = 15$ by $- 2$ and simplify.

Divide each term in $- 2 (2 t - 1) = 15$ by $- 2$ .

$\frac{- 2 (2 t - 1)}{- 2} = \frac{15}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 (2 t - 1)}{- 2} = \frac{15}{- 2}$

Divide $2 t - 1$ by $1$ .

$2 t - 1 = \frac{15}{- 2}$

Simplify the right side.

Move the negative in front of the fraction.

$2 t - 1 = - \frac{15}{2}$

Step 3

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

Add $1$ to both sides of the equation.

$2 t = - \frac{15}{2} + 1$

Write $1$ as a fraction with a common denominator.

$2 t = - \frac{15}{2} + \frac{2}{2}$

Combine the numerators over the common denominator.

$2 t = \frac{- 15 + 2}{2}$

Add $- 15$ and $2$ .

$2 t = \frac{- 13}{2}$

Move the negative in front of the fraction.

$2 t = - \frac{13}{2}$

Step 4

Divide each term in $2 t = - \frac{13}{2}$ by $2$ and simplify.

Divide each term in $2 t = - \frac{13}{2}$ by $2$ .

$\frac{2 t}{2} = \frac{- \frac{13}{2}}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 t}{2} = \frac{- \frac{13}{2}}{2}$

Divide $t$ by $1$ .

$t = \frac{- \frac{13}{2}}{2}$

Simplify the right side.

Multiply the numerator by the reciprocal of the denominator.

$t = - \frac{13}{2} \cdot \frac{1}{2}$

Multiply $- \frac{13}{2} \cdot \frac{1}{2}$ .

Multiply $\frac{1}{2}$ by $\frac{13}{2}$ .

$t = - \frac{13}{2 \cdot 2}$

Multiply $2$ by $2$ .

$t = - \frac{13}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$t = - \frac{13}{4}$

Decimal Form:

$t = - 3.25$

Mixed Number Form:

$t = - 3 \frac{1}{4}$

Solve for t 15=-2(2t-1)

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