Answer :
To simplify the expression
$$6(5r - 11) - (5 - r),$$
we can follow these steps:
1. **Distribute in the first term:**
Multiply 6 with each term inside the parentheses:
$$6(5r) = 30r,$$
$$6(-11) = -66.$$
So,
$$6(5r - 11) = 30r - 66.$$
2. **Distribute the negative sign in the second term:**
The expression
$$-(5 - r)$$
becomes
$$-5 + r.$$
3. **Combine like terms:**
Write the expression with all terms:
$$30r - 66 - 5 + r.$$
Group the terms involving $r$ and the constant terms:
- Combine the $r$ terms:
$$30r + r = 31r.$$
- Combine the constants:
$$-66 - 5 = -71.$$
The simplified expression is:
$$31r - 71.$$
Thus, the expression $6(5r-11)-(5-r)$ simplifies to
$$\boxed{31r - 71}.$$
Among the provided choices, this corresponds to option (B).
$$6(5r - 11) - (5 - r),$$
we can follow these steps:
1. **Distribute in the first term:**
Multiply 6 with each term inside the parentheses:
$$6(5r) = 30r,$$
$$6(-11) = -66.$$
So,
$$6(5r - 11) = 30r - 66.$$
2. **Distribute the negative sign in the second term:**
The expression
$$-(5 - r)$$
becomes
$$-5 + r.$$
3. **Combine like terms:**
Write the expression with all terms:
$$30r - 66 - 5 + r.$$
Group the terms involving $r$ and the constant terms:
- Combine the $r$ terms:
$$30r + r = 31r.$$
- Combine the constants:
$$-66 - 5 = -71.$$
The simplified expression is:
$$31r - 71.$$
Thus, the expression $6(5r-11)-(5-r)$ simplifies to
$$\boxed{31r - 71}.$$
Among the provided choices, this corresponds to option (B).
Given expression:
6(5r - 11) - (5 - 7)
Step 1: Distribute the 6
6 \cdot 5r = 30r \\
6 \cdot -11 = -66
So:
6(5r - 11) = 30r - 66
Step 2: Simplify the second part
(5 - 7) = -2
Now combine:
30r - 66 - (-2) = 30r - 66 + 2 = 30r - 64
⸻
Final Answer:
30r - 64
6(5r - 11) - (5 - 7)
Step 1: Distribute the 6
6 \cdot 5r = 30r \\
6 \cdot -11 = -66
So:
6(5r - 11) = 30r - 66
Step 2: Simplify the second part
(5 - 7) = -2
Now combine:
30r - 66 - (-2) = 30r - 66 + 2 = 30r - 64
⸻
Final Answer:
30r - 64
