Math Problem Statement

The original question submitted by the user contains a series of algebraic equations for solving.

Solution

Here are the equations from the image you uploaded:

  1. 20911n=11209 - 11n = 11
  2. x12=1812\frac{x}{12} = \frac{18}{12}
  3. 10=m+(15)-10 = m + (-15)
  4. 22p=4-22p = -4
  5. 3=n63 = n - 6
  6. 7+s=18-7 + s = -18
  7. b2=3b - 2 = 3
  8. 120=10x-120 = 10x
  9. 14+r=1614 + r = 16
  10. 218n=72 - \frac{18}{n} = 7
  11. 19=m+1-19 = m + 1
  12. 176=11n-176 = -11n
  13. k7=2\frac{k}{7} = 2
  14. 2718=27n27 - 18 = 27 - n
  15. 6=x+6=226 = x + 6 = 22
  16. 15=n9-15 = n - 9

Would you like me to solve all these equations, or do you have specific ones you'd like to work on first?

Here are 5 questions to consider related to these equations:

  1. How do we isolate variables in linear equations?
  2. What steps are needed to solve a fraction equation like equation 2?
  3. How can we handle negative signs when simplifying equations?
  4. What methods help in solving multi-variable equations?
  5. Can you check your solution by plugging values back into the original equation?

Tip: When solving equations, always perform the same operation on both sides to keep the equation balanced.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Fractions
Negative Numbers

Formulas

Solving linear equations: ax + b = c
Solving fractional equations: (a/b) = (c/d)

Theorems

Addition and Subtraction properties of Equality
Multiplication and Division properties of Equality

Suitable Grade Level

Grades 6-8