Question
Solve for \( d \) \( -4 d+-4=-12 \) \( d=\square \) Submit
Ask by Vargas Garrett. in the United States
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( d = 2 \)
Solution
Solve the equation \( -4d+(-4)=-12 \).
Solve the equation by following steps:
- step0: Solve for \(d\):
\(-4d+\left(-4\right)=-12\)
- step1: Remove the parentheses:
\(-4d-4=-12\)
- step2: Move the constant to the right side:
\(-4d=-12+4\)
- step3: Add the numbers:
\(-4d=-8\)
- step4: Change the signs:
\(4d=8\)
- step5: Divide both sides:
\(\frac{4d}{4}=\frac{8}{4}\)
- step6: Divide the numbers:
\(d=2\)
The solution to the equation \( -4d + (-4) = -12 \) is \( d = 2 \).
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Simplify this solution Bonus Knowledge
To solve the equation \( -4d - 4 = -12 \), let's start by isolating the \( d \) term. First, add 4 to both sides: \[ -4d - 4 + 4 = -12 + 4 \] This simplifies to: \[ -4d = -8 \] Now, divide both sides by -4: \[ d = \frac{-8}{-4} \] This results in: \[ d = 2 \] So, \( d = 2 \).
