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(k)/(4)+3=14
What is the value of 
k in the equation shown?

k4+3=14 \frac{k}{4}+3=14 \newlineWhat is the value of k k in the equation shown?

Full solution

Q. k4+3=14 \frac{k}{4}+3=14 \newlineWhat is the value of k k in the equation shown?
  1. Isolate term with k: Isolate the term containing kk. To isolate the term with kk, we need to subtract 33 from both sides of the equation k4+3=14\frac{k}{4} + 3 = 14. Calculation: 143=1114 - 3 = 11 So, k4+33=143\frac{k}{4} + 3 - 3 = 14 - 3 simplifies to k4=11\frac{k}{4} = 11.
  2. Solve for k: Solve for k.\newlineTo find kk, we need to multiply both sides of the equation k4=11\frac{k}{4} = 11 by 44.\newlineCalculation: 11×4=4411 \times 4 = 44\newlineSo, 4×k4=11×44 \times \frac{k}{4} = 11 \times 4 simplifies to k=44k = 44.
  3. Check solution: Check the solution.\newlineSubstitute k=44k = 44 back into the original equation to verify the solution.\newlineCalculation: 444+3=11+3=14\frac{44}{4} + 3 = 11 + 3 = 14\newlineSince the left side equals the right side, our solution is correct.

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