Daniels Hart
08/04/2023 · High School
c) \( (5+7 a) \cdot 15=-30 \)
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Tutor-Verified Answer
Step-by-step Solution
Solve the equation \( (5+7a) \cdot 15 = -30 \).
Solve the equation by following steps:
- step0: Solve for \(a\):
\(\left(5+7a\right)\times 15=-30\)
- step1: Multiply the terms:
\(15\left(5+7a\right)=-30\)
- step2: Divide both sides:
\(\frac{15\left(5+7a\right)}{15}=\frac{-30}{15}\)
- step3: Divide the numbers:
\(5+7a=-2\)
- step4: Move the constant to the right side:
\(7a=-2-5\)
- step5: Subtract the numbers:
\(7a=-7\)
- step6: Divide both sides:
\(\frac{7a}{7}=\frac{-7}{7}\)
- step7: Divide the numbers:
\(a=-1\)
The solution to the equation \( (5+7a) \cdot 15 = -30 \) is \( a = -1 \).
Quick Answer
\( a = -1 \)
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