SOLUTION: What are the first and second steps performed in solving the inequality 2(4w + 8) – 2w + 42 > 78? Name the property used

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Question 489734: What are the first and second steps performed in solving the inequality 2(4w + 8) – 2w + 42 > 78? Name the property used
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
2%284w+%2B+8%29+%96+2w+%2B+42+%3E+78
first step: multiply %284w+%2B+8%29 by 2 and apply Distributive property: The sum of two numbers times a third number is equal to the sum of each addend times the third number
8w%2B16-2w%2B42%3E78....group alike terms

%288w-2w%29%2B%2816%2B42%29%3E78...subtract first group and add second group

6w%2B+58+%3E+78...move 58 to the right

6w%3E+78-58...subtract

6w%3E+20.....divide by 6

6w%2F6%3E+20%2F5

w%3E+20%2F6...simplify

w%3E+10%2F3

w%3E+3%281%2F3%29