7w+2w-1=4w+9

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Solution for 7w+2w-1=4w+9 equation:


Simplifying
7w + 2w + -1 = 4w + 9

Reorder the terms:
-1 + 7w + 2w = 4w + 9

Combine like terms: 7w + 2w = 9w
-1 + 9w = 4w + 9

Reorder the terms:
-1 + 9w = 9 + 4w

Solving
-1 + 9w = 9 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
-1 + 9w + -4w = 9 + 4w + -4w

Combine like terms: 9w + -4w = 5w
-1 + 5w = 9 + 4w + -4w

Combine like terms: 4w + -4w = 0
-1 + 5w = 9 + 0
-1 + 5w = 9

Add '1' to each side of the equation.
-1 + 1 + 5w = 9 + 1

Combine like terms: -1 + 1 = 0
0 + 5w = 9 + 1
5w = 9 + 1

Combine like terms: 9 + 1 = 10
5w = 10

Divide each side by '5'.
w = 2

Simplifying
w = 2

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