Question

8(3n-2) + 1/2 (10n-7)

Answer 1

Answer is 29n - 19 1/2
(or 29n - 39/2 )

Step by step

To solve we will use distribution multiplication.
Multiply the number outside the ( ) by all the numbers inside the ( ) and add them together.

8 ( 3n -2 ) + 1/2 ( 10n - 7)

24n -16 + 5n - 3 1/2
Combine like terms

(24n + 5n) and (-16 -3 1/2)

29n - 19 1/2 is your answer

*you can keep - 7/2 as an improper fraction, where I changed it to a mixed number -3 1/2.
Your answer would be 29n - 39/2

Answer 2

29n - 39/2.

Explanation:

To simplify the expression 8(3n-2) + 1/2 (10n-7), we can start by using the distributive property of multiplication over addition to simplify the terms inside the parentheses:

8(3n-2) + 1/2 (10n-7) = (83n - 82) + (1/2 * 10n - 1/2 * 7)

This gives us:

24n - 16 + 5n - 7/2

Next, we can combine like terms:

24n + 5n - 16 - 7/2 = 29n - 16 - 7/2

Finally, we can simplify the expression by finding a common denominator for -16 and -7/2:

29n - 16 - 7/2 = 29n - 32/2 - 7/2 = 29n - 39/2

Therefore, 8(3n-2) + 1/2 (10n-7) simplifies to 29n - 39/2.