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Choose a value of 'a' that satisfies the equation 6a = -30.
  • a)
    5
  • b)
    30
  • c)
    -5
  • d)
    10
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Choose a value of 'a' that satisfies the equation 6a = -30.a)5...
6a = −30 ⇒ a = -30/6 = -5
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Most Upvoted Answer
Choose a value of 'a' that satisfies the equation 6a = -30.a)5...
To find the value of a that satisfies the equation 6a = -30, we need to solve for a.

1. Subtracting 30 from both sides of the equation:
6a - 30 = -30 - 30
6a - 30 = -60

2. Adding 30 to both sides of the equation:
6a - 30 + 30 = -60 + 30
6a = -30

3. Dividing both sides of the equation by 6:
(6a)/6 = (-30)/6
a = -5

Hence, the value of a that satisfies the equation 6a = -30 is -5.

Explanation:
- The equation 6a = -30 represents a multiplication problem, where 6 is multiplied by a to give the result of -30.
- To isolate the variable a, we can perform inverse operations on both sides of the equation.
- By subtracting 30 from both sides, we eliminate the constant term on the right side of the equation.
- By adding 30 to both sides, we cancel out the -30 term on the left side of the equation.
- Dividing both sides by 6 allows us to solve for a, as dividing by 6 on the left side cancels out the coefficient of a.
- The solution is a = -5, which means that when -5 is multiplied by 6, the result is -30, satisfying the original equation.
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