6w+-4+w=28+3w+9

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Solution for 6w+-4+w=28+3w+9 equation: 


Simplifying
6w + -4 + w = 28 + 3w + 9

Reorder the terms:
-4 + 6w + w = 28 + 3w + 9

Combine like terms: 6w + w = 7w
-4 + 7w = 28 + 3w + 9

Reorder the terms:
-4 + 7w = 28 + 9 + 3w

Combine like terms: 28 + 9 = 37
-4 + 7w = 37 + 3w

Solving
-4 + 7w = 37 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
-4 + 7w + -3w = 37 + 3w + -3w

Combine like terms: 7w + -3w = 4w
-4 + 4w = 37 + 3w + -3w

Combine like terms: 3w + -3w = 0
-4 + 4w = 37 + 0
-4 + 4w = 37

Add '4' to each side of the equation.
-4 + 4 + 4w = 37 + 4

Combine like terms: -4 + 4 = 0
0 + 4w = 37 + 4
4w = 37 + 4

Combine like terms: 37 + 4 = 41
4w = 41

Divide each side by '4'.
w = 10.25

Simplifying
w = 10.25

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