Simplifying the Expression: (6d + 5) - (2 - 3d)
This expression involves combining like terms and simplifying the equation. Let's break down the process step-by-step:
1. Distribute the Negative Sign
The negative sign in front of the parentheses means we multiply each term inside the second parentheses by -1.
(6d + 5) + (-1 * 2) + (-1 * -3d)
This gives us:
(6d + 5) - 2 + 3d
2. Combine Like Terms
Now, we identify terms with the same variable (d) and constant terms.
(6d + 3d) + (5 - 2)
3. Simplify
Finally, we add the coefficients of the 'd' terms and the constant terms:
9d + 3
Conclusion
Therefore, the simplified form of the expression (6d + 5) - (2 - 3d) is 9d + 3.