7w-9=3+2(w+9)

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Solution for 7w-9=3+2(w+9) equation:


Simplifying
7w + -9 = 3 + 2(w + 9)

Reorder the terms:
-9 + 7w = 3 + 2(w + 9)

Reorder the terms:
-9 + 7w = 3 + 2(9 + w)
-9 + 7w = 3 + (9 * 2 + w * 2)
-9 + 7w = 3 + (18 + 2w)

Combine like terms: 3 + 18 = 21
-9 + 7w = 21 + 2w

Solving
-9 + 7w = 21 + 2w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-2w' to each side of the equation.
-9 + 7w + -2w = 21 + 2w + -2w

Combine like terms: 7w + -2w = 5w
-9 + 5w = 21 + 2w + -2w

Combine like terms: 2w + -2w = 0
-9 + 5w = 21 + 0
-9 + 5w = 21

Add '9' to each side of the equation.
-9 + 9 + 5w = 21 + 9

Combine like terms: -9 + 9 = 0
0 + 5w = 21 + 9
5w = 21 + 9

Combine like terms: 21 + 9 = 30
5w = 30

Divide each side by '5'.
w = 6

Simplifying
w = 6

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