Algebra Examples

- 9 (6 m - 3) + 6 (1 + 4 m)

$- 9 (6 m - 3) + 6 (1 + 4 m)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

- 9 (6 m) - 9 \cdot - 3 + 6 (1 + 4 m)

$- 9 (6 m) - 9 \cdot - 3 + 6 (1 + 4 m)$

Step 1.2

Multiply

6

$6$ by

- 9

$- 9$ .

- 54 m - 9 \cdot - 3 + 6 (1 + 4 m)

$- 54 m - 9 \cdot - 3 + 6 (1 + 4 m)$

Step 1.3

Multiply

- 9

$- 9$ by

- 3

$- 3$ .

- 54 m + 27 + 6 (1 + 4 m)

$- 54 m + 27 + 6 (1 + 4 m)$

Step 1.4

Apply the distributive property.

- 54 m + 27 + 6 \cdot 1 + 6 (4 m)

$- 54 m + 27 + 6 \cdot 1 + 6 (4 m)$

Step 1.5

Multiply

6

$6$ by

1

$1$ .

- 54 m + 27 + 6 + 6 (4 m)

$- 54 m + 27 + 6 + 6 (4 m)$

Step 1.6

Multiply

4

$4$ by

6

$6$ .

- 54 m + 27 + 6 + 24 m

$- 54 m + 27 + 6 + 24 m$

- 54 m + 27 + 6 + 24 m

$- 54 m + 27 + 6 + 24 m$

Step 2

Simplify by adding terms.

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Step 2.1

Add

- 54 m

$- 54 m$ and

24 m

$24 m$ .

- 30 m + 27 + 6

$- 30 m + 27 + 6$

Step 2.2

Add

27

$27$ and

6

$6$ .

- 30 m + 33

$- 30 m + 33$

- 30 m + 33

$- 30 m + 33$

- 9 (6 m - 3) + 6 (1 + 4 m)

$- 9 (6 m - 3) + 6 (1 + 4 m)$

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

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