2-2w+49=4+w+32

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Solution for 2-2w+49=4+w+32 equation: 


Simplifying
2 + -2w + 49 = 4 + w + 32

Reorder the terms:
2 + 49 + -2w = 4 + w + 32

Combine like terms: 2 + 49 = 51
51 + -2w = 4 + w + 32

Reorder the terms:
51 + -2w = 4 + 32 + w

Combine like terms: 4 + 32 = 36
51 + -2w = 36 + w

Solving
51 + -2w = 36 + w

Solving for variable 'w'.

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

Add '-1w' to each side of the equation.
51 + -2w + -1w = 36 + w + -1w

Combine like terms: -2w + -1w = -3w
51 + -3w = 36 + w + -1w

Combine like terms: w + -1w = 0
51 + -3w = 36 + 0
51 + -3w = 36

Add '-51' to each side of the equation.
51 + -51 + -3w = 36 + -51

Combine like terms: 51 + -51 = 0
0 + -3w = 36 + -51
-3w = 36 + -51

Combine like terms: 36 + -51 = -15
-3w = -15

Divide each side by '-3'.
w = 5

Simplifying
w = 5

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