First expression
[tex]17-3(w-5)=6(w+5)-2w[/tex]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
[tex]17-3w-15=6w+30-2w[/tex]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:
[tex]-33+2=4w+30[/tex]Addition property
Fourth expression
[tex]-7w+2=30[/tex]Adition propperty
Fifth expression
[tex]-7w=28[/tex]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
[tex]w=-4[/tex]This expression is reflexive, it means, it tells you what the value of the variable is.
