First expression
![17-3(w-5)=6(w+5)-2w](https://img.qammunity.org/2023/formulas/mathematics/high-school/9at63a7ijv3pl8g4trndszjwf70mkx54q0.png)
For this expression you have to apply the subtraction property/addition property, this means everithing you add/subtract in one side gives the same result as the operations done in the right side of the = sign.
Second expression
![17-3w-15=6w+30-2w](https://img.qammunity.org/2023/formulas/mathematics/high-school/kksk6r3i857dgs0ar6vjo5k1w8j770g9od.png)
This expression is equal to the first one, except that the terms in the parenthesis were calculated using the distributive propperties of multiplication.
The properties to use are addition/subtraction properties.
Third expression:
![-33+2=4w+30](https://img.qammunity.org/2023/formulas/mathematics/high-school/wky5jdlj47p5kj5y9hxpiwv4vj32jy7syi.png)
Addition property
Fourth expression
![-7w+2=30](https://img.qammunity.org/2023/formulas/mathematics/high-school/o9epgt3vvkejznmjeaxy0hcl9om4wug83a.png)
Adition propperty
Fifth expression
![-7w=28](https://img.qammunity.org/2023/formulas/mathematics/high-school/z306expmq6axy7r6bse2b98hlbhe8902lj.png)
In this case, since there is only one term on each side, and in the left one the variable is being multiplied by a coefficient, you have to apply the multiplication propperty.
Sixth expression
![w=-4](https://img.qammunity.org/2023/formulas/mathematics/high-school/o322ywzarcck826gxntfgtu8972vxuanrd.png)
This expression is reflexive, it means, it tells you what the value of the variable is.