2w+9-5w=4+3w-7

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Solution for 2w+9-5w=4+3w-7 equation: 


Simplifying
2w + 9 + -5w = 4 + 3w + -7

Reorder the terms:
9 + 2w + -5w = 4 + 3w + -7

Combine like terms: 2w + -5w = -3w
9 + -3w = 4 + 3w + -7

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

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

Solving
9 + -3w = -3 + 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.
9 + -3w + -3w = -3 + 3w + -3w

Combine like terms: -3w + -3w = -6w
9 + -6w = -3 + 3w + -3w

Combine like terms: 3w + -3w = 0
9 + -6w = -3 + 0
9 + -6w = -3

Add '-9' to each side of the equation.
9 + -9 + -6w = -3 + -9

Combine like terms: 9 + -9 = 0
0 + -6w = -3 + -9
-6w = -3 + -9

Combine like terms: -3 + -9 = -12
-6w = -12

Divide each side by '-6'.
w = 2

Simplifying
w = 2

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