Answer:
![\displaystyle w = 1](https://img.qammunity.org/2022/formulas/mathematics/high-school/di7ip2akxbgcbj3w1jsc9ylstd65y10ll1.png)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Algebra I
Terms/Coefficients
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Explanation:
Step 1: Define
Identify equation.
![\displaystyle -5 = (w - 11)/(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/7fvh6qg28zx3ktbet4jwio0zlmolxgzkgu.png)
Step 2: Solve for w
- [Multiplication Property of Equality] Multiply 2 on both sides:
![\displaystyle -10 = w - 11](https://img.qammunity.org/2022/formulas/mathematics/high-school/hsmuxitf6fa9ezmgwey87q6hnwqobcnrk7.png)
- [Addition Property of Equality] Add 11 on both sides:
![\displaystyle 1 = w](https://img.qammunity.org/2022/formulas/mathematics/high-school/rid9ree6oyxztpm597afwebn5wo8p76al7.png)
- Rewrite: