Chemistry Examples

$29 + 5 (6 + 8 (z - 3)) + 2 (8 z - 12)$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$29 + 5 (6 + 8 z + 8 \cdot - 3) + 2 (8 z - 12)$

Step 1.1.2

Multiply $8$ by $- 3$ .

$29 + 5 (6 + 8 z - 24) + 2 (8 z - 12)$

$29 + 5 (6 + 8 z - 24) + 2 (8 z - 12)$

Step 1.2

Subtract $24$ from $6$ .

$29 + 5 (8 z - 18) + 2 (8 z - 12)$

Step 1.3

Apply the distributive property.

$29 + 5 (8 z) + 5 \cdot - 18 + 2 (8 z - 12)$

Step 1.4

Multiply $8$ by $5$ .

$29 + 40 z + 5 \cdot - 18 + 2 (8 z - 12)$

Step 1.5

Multiply $5$ by $- 18$ .

$29 + 40 z - 90 + 2 (8 z - 12)$

Step 1.6

Apply the distributive property.

$29 + 40 z - 90 + 2 (8 z) + 2 \cdot - 12$

Step 1.7

Multiply $8$ by $2$ .

$29 + 40 z - 90 + 16 z + 2 \cdot - 12$

Step 1.8

Multiply $2$ by $- 12$ .

$29 + 40 z - 90 + 16 z - 24$

$29 + 40 z - 90 + 16 z - 24$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $90$ from $29$ .

$40 z - 61 + 16 z - 24$

Step 2.2

Add $40 z$ and $16 z$ .

$56 z - 61 - 24$

Step 2.3

Subtract $24$ from $- 61$ .

$56 z - 85$

$56 z - 85$

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