21.4-27w-1.1=1.5w-4.9

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Solution for 21.4-27w-1.1=1.5w-4.9 equation: 


Simplifying
21.4 + -27w + -1.1 = 1.5w + -4.9

Reorder the terms:
21.4 + -1.1 + -27w = 1.5w + -4.9

Combine like terms: 21.4 + -1.1 = 20.3
20.3 + -27w = 1.5w + -4.9

Reorder the terms:
20.3 + -27w = -4.9 + 1.5w

Solving
20.3 + -27w = -4.9 + 1.5w

Solving for variable 'w'.

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

Add '-1.5w' to each side of the equation.
20.3 + -27w + -1.5w = -4.9 + 1.5w + -1.5w

Combine like terms: -27w + -1.5w = -28.5w
20.3 + -28.5w = -4.9 + 1.5w + -1.5w

Combine like terms: 1.5w + -1.5w = 0.0
20.3 + -28.5w = -4.9 + 0.0
20.3 + -28.5w = -4.9

Add '-20.3' to each side of the equation.
20.3 + -20.3 + -28.5w = -4.9 + -20.3

Combine like terms: 20.3 + -20.3 = 0.0
0.0 + -28.5w = -4.9 + -20.3
-28.5w = -4.9 + -20.3

Combine like terms: -4.9 + -20.3 = -25.2
-28.5w = -25.2

Divide each side by '-28.5'.
w = 0.8842105263

Simplifying
w = 0.8842105263

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