4w-19=w+2

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Solution for 4w-19=w+2 equation:


Simplifying
4w + -19 = w + 2

Reorder the terms:
-19 + 4w = w + 2

Reorder the terms:
-19 + 4w = 2 + w

Solving
-19 + 4w = 2 + 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.
-19 + 4w + -1w = 2 + w + -1w

Combine like terms: 4w + -1w = 3w
-19 + 3w = 2 + w + -1w

Combine like terms: w + -1w = 0
-19 + 3w = 2 + 0
-19 + 3w = 2

Add '19' to each side of the equation.
-19 + 19 + 3w = 2 + 19

Combine like terms: -19 + 19 = 0
0 + 3w = 2 + 19
3w = 2 + 19

Combine like terms: 2 + 19 = 21
3w = 21

Divide each side by '3'.
w = 7

Simplifying
w = 7

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