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Simplify to create an equivalent expression:

[tex]6(5r - 11) - (5 - r)[/tex]

Choose one answer:

A. [tex]30r - 71[/tex]
B. [tex]31r - 71[/tex]
C. [tex]29r - 71[/tex]
D. [tex]31r - 61[/tex]

Answer :

Sure! Let's simplify the expression step by step.

We have the expression:
[tex]\[ 6(5r - 11) - (5 - r) \][/tex]

1. Distribute the 6 into the first parentheses:

[tex]\[
6 \times 5r - 6 \times 11 = 30r - 66
\][/tex]

2. Distribute the negative sign into the second parentheses:

[tex]\[
-(5 - r) = -5 + r
\][/tex]

3. Combine the simplified parts:

[tex]\[
(30r - 66) + (-5 + r)
\][/tex]

This becomes:

[tex]\[
30r - 66 - 5 + r
\][/tex]

4. Combine like terms:

- The terms with [tex]\(r\)[/tex]: [tex]\(30r + r = 31r\)[/tex]
- The constant terms: [tex]\(-66 - 5 = -71\)[/tex]

5. Write the final simplified expression:

[tex]\[
31r - 71
\][/tex]

So, the simplified expression is [tex]\(31r - 71\)[/tex].

The correct answer is:

(B) [tex]\(31r - 71\)[/tex]

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Rewritten by : Barada

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