Basic Math Examples

$2 t - 8 = 3 (t + 6)$

Step 1

Simplify $3 (t + 6)$ .

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Step 1.1

Rewrite.

$2 t - 8 = 0 + 0 + 3 (t + 6)$

Step 1.2

Simplify by adding zeros.

$2 t - 8 = 3 (t + 6)$

Step 1.3

Apply the distributive property.

$2 t - 8 = 3 t + 3 \cdot 6$

Step 1.4

Multiply $3$ by $6$ .

$2 t - 8 = 3 t + 18$

Step 2

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

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Step 2.1

Subtract $3 t$ from both sides of the equation.

$2 t - 8 - 3 t = 18$

Step 2.2

Subtract $3 t$ from $2 t$ .

$- t - 8 = 18$

Step 3

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

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Step 3.1

Add $8$ to both sides of the equation.

$- t = 18 + 8$

Step 3.2

Add $18$ and $8$ .

$- t = 26$

Step 4

Divide each term in $- t = 26$ by $- 1$ and simplify.

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Step 4.1

Divide each term in $- t = 26$ by $- 1$ .

$\frac{- t}{- 1} = \frac{26}{- 1}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Dividing two negative values results in a positive value.

$\frac{t}{1} = \frac{26}{- 1}$

Step 4.2.2

Divide $t$ by $1$ .

$t = \frac{26}{- 1}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $26$ by $- 1$ .

$t = - 26$