Question

½ (d + 2) + 4 = 1/3( 3 − d) + 6 Solve for D

Answer 1

To solve the linear equation ½(d + 2) + 4 = 1/3(3 − d) + 6 for d, distribute the terms, combine like terms, and isolate d. After simplifying, the solution is determined to be d = 2.4.

Step-by-step explanation:

To solve the equation ½(d + 2) + 4 = 1/3(3 − d) + 6 for d, follow these steps:

1. Distribute through the parentheses: ½ * d + ½ * 2 + 4 = 1/3 * 3 - 1/3 * d + 6.
2. Simplify both sides: ½d + 1 + 4 = 1 - 1/3d + 6.
3. Combine like terms: ½d + 5 = 7 - 1/3d.
4. Get all the terms with d on one side: ½d + 1/3d = 7 - 5.
5. Combine the d terms: (3/6)d + (2/6)d = 2.
6. Add the d terms: (5/6)d = 2.
7. Multiply both sides by the reciprocal of (5/6), which is (6/5), to get d by itself: d = 2 * (6/5).
8. Simplify the result: d = 12/5 or 2.4.

Therefore, the solution for d is 2.4.