(6d+5)-(2-3d) Find The Difference

less than a minute read Jun 16, 2024

Finding the Difference: (6d + 5) - (2 - 3d)

This problem involves simplifying an algebraic expression by combining like terms. Let's break down the steps to find the difference between (6d + 5) and (2 - 3d):

Step 1: Distribute the Negative Sign

The minus sign in front of the parentheses means we multiply each term inside the second parentheses by -1.

(6d + 5) - (2 - 3d) becomes (6d + 5) + (-1 * 2) + (-1 * -3d)

This simplifies to: (6d + 5) - 2 + 3d

Step 2: Combine Like Terms

Now, group the terms with 'd' together and the constant terms together.

(6d + 3d) + (5 - 2)

Step 3: Simplify

Combine the coefficients of the 'd' terms and the constant terms.

9d + 3

Conclusion

Therefore, the difference between (6d + 5) and (2 - 3d) is 9d + 3.