Determine the completely simplified form of the following expression: 3(2a + 4) - 5a — Armed Services Vocational Aptitude Battery (ASVAB)

Determine the completely simplified form of the following expression:

3(2a + 4) - 5a

Cevap: a + 12 / a+12 / 12 + a / 12+a / 1a + 12 / 1a+12

a + 12

Applying the distributive property to

3(2a + 4)

yields

6a + 12

. The expression becomes

6a + 12 - 5a

. Subtracting

5a

from

6a

leaves

a

. The constant

12

cannot be combined with

a

, making the final simplified expression

a + 12

Use the distributive property to multiply 3 by each term inside the parentheses.

6a + 12 - 5a

Expanding the parentheses is the necessary first step to access the terms for combination.

Group and combine the like terms (

6a

and

-5a

a + 12

Subtracting

5a

from

6a

leaves

1a

(or

a

), while the constant

12

remains unchanged.

Applying the distributive property and combining like terms.

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