Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( d = 9.4 \)
Solution
To solve for \( d \) in the equation:
\[
-7 = -2(d - 5.9)
\]
follow these steps:
### Step 1: Distribute the \(-2\) on the right side
Multiply \(-2\) by each term inside the parentheses:
\[
-7 = -2 \cdot d + (-2) \cdot (-5.9)
\]
\[
-7 = -2d + 11.8
\]
### Step 2: Isolate the term with \( d \)
Subtract \( 11.8 \) from both sides to move the constant term to the left side:
\[
-7 - 11.8 = -2d
\]
\[
-18.8 = -2d
\]
### Step 3: Solve for \( d \)
Divide both sides by \(-2\) to isolate \( d \):
\[
\frac{-18.8}{-2} = d
\]
\[
9.4 = d
\]
### Final Answer
\[
d = 9.4
\]
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Simplify this solution Extra Insights
To solve for \( d \), we start by distributing the right side of the equation: \[ -7 = -2(d - 5.9) \] \[ -7 = -2d + 11.8 \] Next, we isolate the term involving \( d \). We can do this by subtracting \( 11.8 \) from both sides: \[ -7 - 11.8 = -2d \] \[ -18.8 = -2d \] Now, we divide both sides by \( -2 \) to solve for \( d \): \[ d = \frac{-18.8}{-2} = 9.4 \] Thus, the solution is \[ \boxed{9.4} \]
