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Solve for the variable in each equation.

Mathematics

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Step-by-step solution

18 steps

Here are the solutions for finding the variables in each equation:

  1. 7+K=187+K=18
  1. Subtract 7 from both sides of the equation.

    $$
    K = 18 - 7
    $$
    
  2. Simplify.

    $$
    K = 11
    $$
    The variable is $\boxed{K=11}$.
    

    2. 7n+9=137n+9=13

  3. Subtract 9 from both sides of the equation.

    $$
    7n = 13 - 9
    $$
    $$
    7n = 4
    $$
    
  4. Divide both sides by 7.

    $$
    n = \frac{4}{7}
    $$
    The variable is $\boxed{n=\frac{4}{7}}$.
    

    3. 11h+18=7311h+18=73

  5. Subtract 18 from both sides of the equation.

    $$
    11h = 73 - 18
    $$
    $$
    11h = 55
    $$
    
  6. Divide both sides by 11.

    $$
    h = \frac{55}{11}
    $$
    $$
    h = 5
    $$
    The variable is $\boxed{h=5}$.
    

    4. 24+V=1924+V=19

  7. Subtract 24 from both sides of the equation.

    $$
    V = 19 - 24
    $$
    
  8. Simplify.

    $$
    V = -5
    $$
    The variable is $\boxed{V=-5}$.
    

    5. 4p+18=424p+18=42

  9. Subtract 18 from both sides of the equation.

    $$
    4p = 42 - 18
    $$
    $$
    4p = 24
    $$
    
  10. Divide both sides by 4.

    $$
    p = \frac{24}{4}
    $$
    $$
    p = 6
    $$
    The variable is $\boxed{p=6}$.
    

    6. 8+m=348+m=34

  11. Subtract 8 from both sides of the equation.

    $$
    m = 34 - 8
    $$
    
  12. Simplify.

    $$
    m = 26
    $$
    The variable is $\boxed{m=26}$.
    

    7. 5t+47=825t+47=82

  13. Subtract 47 from both sides of the equation.

    $$
    5t = 82 - 47
    $$
    $$
    5t = 35
    $$
    
  14. Divide both sides by 5.

    $$
    t = \frac{35}{5}
    $$
    $$
    t = 7
    $$
    The variable is $\boxed{t=7}$.
    

    8. n−15=30n-15=30

  15. Add 15 to both sides of the equation.

    $$
    n = 30 + 15
    $$
    
  16. Simplify.

    $$
    n = 45
    $$
    The variable is $\boxed{n=45}$.
    

    9. 9+u=349+u=34

  17. Subtract 9 from both sides of the equation.

    $$
    u = 34 - 9
    $$
    
  18. Simplify.

    $$
    u = 25
    $$
    The variable is $\boxed{u=25}$.
    
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