21+2.5w=6+5.7w-3.2+15

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Solution for 21+2.5w=6+5.7w-3.2+15 equation: 


Simplifying
21 + 2.5w = 6 + 5.7w + -3.2 + 15

Reorder the terms:
21 + 2.5w = 6 + -3.2 + 15 + 5.7w

Combine like terms: 6 + -3.2 = 2.8
21 + 2.5w = 2.8 + 15 + 5.7w

Combine like terms: 2.8 + 15 = 17.8
21 + 2.5w = 17.8 + 5.7w

Solving
21 + 2.5w = 17.8 + 5.7w

Solving for variable 'w'.

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

Add '-5.7w' to each side of the equation.
21 + 2.5w + -5.7w = 17.8 + 5.7w + -5.7w

Combine like terms: 2.5w + -5.7w = -3.2w
21 + -3.2w = 17.8 + 5.7w + -5.7w

Combine like terms: 5.7w + -5.7w = 0.0
21 + -3.2w = 17.8 + 0.0
21 + -3.2w = 17.8

Add '-21' to each side of the equation.
21 + -21 + -3.2w = 17.8 + -21

Combine like terms: 21 + -21 = 0
0 + -3.2w = 17.8 + -21
-3.2w = 17.8 + -21

Combine like terms: 17.8 + -21 = -3.2
-3.2w = -3.2

Divide each side by '-3.2'.
w = 1

Simplifying
w = 1

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