Finite Math Examples

$7 + 3 (2 t - 3) - 3 (4 t + 8) - 6$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$7 + 3 (2 t) + 3 \cdot - 3 - 3 (4 t + 8) - 6$

Step 1.2

Multiply $2$ by $3$ .

$7 + 6 t + 3 \cdot - 3 - 3 (4 t + 8) - 6$

Step 1.3

Multiply $3$ by $- 3$ .

$7 + 6 t - 9 - 3 (4 t + 8) - 6$

Step 1.4

Apply the distributive property.

$7 + 6 t - 9 - 3 (4 t) - 3 \cdot 8 - 6$

Step 1.5

Multiply $4$ by $- 3$ .

$7 + 6 t - 9 - 12 t - 3 \cdot 8 - 6$

Step 1.6

Multiply $- 3$ by $8$ .

$7 + 6 t - 9 - 12 t - 24 - 6$

$7 + 6 t - 9 - 12 t - 24 - 6$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $9$ from $7$ .

$6 t - 2 - 12 t - 24 - 6$

Step 2.2

Subtract $12 t$ from $6 t$ .

$- 6 t - 2 - 24 - 6$

Step 2.3

Simplify by subtracting numbers.

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Step 2.3.1

Subtract $24$ from $- 2$ .

$- 6 t - 26 - 6$

Step 2.3.2

Subtract $6$ from $- 26$ .

$- 6 t - 32$

$- 6 t - 32$

$- 6 t - 32$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$