12w+22+w+45=49w-41

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Solution for 12w+22+w+45=49w-41 equation: 


Simplifying
12w + 22 + w + 45 = 49w + -41

Reorder the terms:
22 + 45 + 12w + w = 49w + -41

Combine like terms: 22 + 45 = 67
67 + 12w + w = 49w + -41

Combine like terms: 12w + w = 13w
67 + 13w = 49w + -41

Reorder the terms:
67 + 13w = -41 + 49w

Solving
67 + 13w = -41 + 49w

Solving for variable 'w'.

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

Add '-49w' to each side of the equation.
67 + 13w + -49w = -41 + 49w + -49w

Combine like terms: 13w + -49w = -36w
67 + -36w = -41 + 49w + -49w

Combine like terms: 49w + -49w = 0
67 + -36w = -41 + 0
67 + -36w = -41

Add '-67' to each side of the equation.
67 + -67 + -36w = -41 + -67

Combine like terms: 67 + -67 = 0
0 + -36w = -41 + -67
-36w = -41 + -67

Combine like terms: -41 + -67 = -108
-36w = -108

Divide each side by '-36'.
w = 3

Simplifying
w = 3

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