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(4m+9)−3(2m−5)=

less than a minute read Jun 16, 2024
(4m+9)−3(2m−5)=

Solving the Equation: (4m + 9) - 3(2m - 5) = ?

This article will guide you through the steps of solving the equation (4m + 9) - 3(2m - 5) = ?.

Understanding the Equation

The equation involves simplifying an expression with variables and constants. We need to follow the order of operations (PEMDAS/BODMAS) to solve it correctly:

  1. Parentheses/Brackets
  2. Exponents/Orders
  3. Multiplication and Division (from left to right)
  4. Addition and Subtraction (from left to right)

Solving the Equation Step-by-Step

  1. Distribute the -3:

    • (4m + 9) - 3(2m - 5) = (4m + 9) - 6m + 15

  2. Combine like terms:

    • (4m - 6m) + (9 + 15) = -2m + 24

Therefore, the simplified expression is -2m + 24.

Conclusion

By following the order of operations, we have successfully simplified the equation (4m + 9) - 3(2m - 5) to -2m + 24. This process demonstrates the importance of using the correct order of operations when solving algebraic expressions.

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