Answer:
w = 7
Step-by-step explanation:
7(w + 1) = 5 (2w - 3) + 1
Use distributive property
7w + 7 = 10w - 15 + 1
Add/subtract any same variables and numbers
7w + 7 = 10w - 14
Goal: isolate the variable (w)
Add 14 to both sides - this cancels out the 14 on the right side and transfers it to the left side
7w + 7 + 14 = 10w - 14 + 14
7w + 21 = 10w
Subtract 7w from both sides - this cancels out the 7w on the left side and transfers it to the right side
7w - 7w + 21 = 10w - 7w
21 = 10w - 7w
21 = 3w
Divide both sides by 3 - this cancels out the 3 on the right side and transfers it to the left side
21 ÷ 3 = 3w ÷ 3
3 divided by 3 = 1 (you do not have to add a 1 before a variable so the result is as follows)
21 ÷ 3 = w
Variable is now successfully isolated
7 = w
