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What is the answer 1/2k+6=4k–8

User Wxker
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2 Answers

3 votes

Final answer:

To solve the equation 1/2k + 6 = 4k - 8, subtract 1/2k from both sides, combine like terms, add 8 to both sides, combine constant terms, divide by 3.5, and solve for k to get k = 4.

Step-by-step explanation:

To solve the algebraic equation 1/2k + 6 = 4k - 8, we need to isolate the variable 'k' on one side of the equation. Here are the steps:

  1. Subtract 1/2k from both sides: 6 = 4k - 1/2k - 8.
  2. Combine like terms on the right side: 6 = 3.5k - 8.
  3. Add 8 to both sides to get all constant terms on the left side: 6 + 8 = 3.5k.
  4. Combine the constant terms: 14 = 3.5k.
  5. Divide both sides by 3.5 to solve for k: k = 14 / 3.5.
  6. Calculate the division: k = 4.

Therefore, the solution to the equation is k = 4.

User Tony Evyght
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4 votes
the answer is 4. ur welcome
User Rei
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