Question
Rewrite in simplest terms: \( -4(-6 d+3)-4(10 d+2) \)
Ask by Horton Hardy. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The simplified form of the expression is \( -16d - 20 \).
Solution
To simplify the expression \( -4(-6d + 3) - 4(10d + 2) \), follow these steps:
1. **Distribute the \(-4\) to each term inside the parentheses:**
\[
-4(-6d) + (-4)(3) - 4(10d) + (-4)(2)
\]
2. **Perform the multiplication:**
\[
24d - 12 - 40d - 8
\]
3. **Combine like terms:**
\[
(24d - 40d) + (-12 - 8) = -16d - 20
\]
So, the simplified form of the expression is:
\[
-16d - 20
\]
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Simplify this solution The Deep Dive
To simplify the expression \( -4(-6 d+3)-4(10 d+2) \), you can start by distributing the \(-4\) and \(4\) across the terms inside the parentheses. First, for the first part: \[ -4(-6d + 3) = 24d - 12 \] Now for the second part: \[ -4(10d + 2) = -40d - 8 \] Now combine these results: \[ (24d - 12) + (-40d - 8) = 24d - 40d - 12 - 8 \] Now, combine like terms: \[ -16d - 20 \] So, the simplified expression is: \[ -16d - 20 \]
