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(7a+3)+(-a-5)=-16

2 min read Jun 16, 2024
(7a+3)+(-a-5)=-16

Solving the Equation: (7a + 3) + (-a - 5) = -16

This article will guide you through the steps of solving the equation (7a + 3) + (-a - 5) = -16.

Understanding the Equation

The equation involves combining like terms and solving for the variable 'a'. Let's break it down:

  • (7a + 3) + (-a - 5): This part represents the sum of two expressions.
  • -16: This is the result of the sum.

Solving the Equation

  1. Combine like terms:

    • 7a - a = 6a
    • 3 - 5 = -2
    • Therefore, the simplified equation becomes: 6a - 2 = -16

  2. Isolate the variable term:

    • Add 2 to both sides of the equation: 6a = -14

  3. Solve for 'a':

    • Divide both sides by 6: a = -14/6

  4. Simplify the solution:

    • a = -7/3

Conclusion

Therefore, the solution to the equation (7a + 3) + (-a - 5) = -16 is a = -7/3.

By following these steps, you can effectively solve similar equations involving combining like terms and isolating the variable.

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