2.8(3w-4)=5.1w+11

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Solution for 2.8(3w-4)=5.1w+11 equation: 


Simplifying
2.8(3w + -4) = 5.1w + 11

Reorder the terms:
2.8(-4 + 3w) = 5.1w + 11
(-4 * 2.8 + 3w * 2.8) = 5.1w + 11
(-11.2 + 8.4w) = 5.1w + 11

Reorder the terms:
-11.2 + 8.4w = 11 + 5.1w

Solving
-11.2 + 8.4w = 11 + 5.1w

Solving for variable 'w'.

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

Add '-5.1w' to each side of the equation.
-11.2 + 8.4w + -5.1w = 11 + 5.1w + -5.1w

Combine like terms: 8.4w + -5.1w = 3.3w
-11.2 + 3.3w = 11 + 5.1w + -5.1w

Combine like terms: 5.1w + -5.1w = 0.0
-11.2 + 3.3w = 11 + 0.0
-11.2 + 3.3w = 11

Add '11.2' to each side of the equation.
-11.2 + 11.2 + 3.3w = 11 + 11.2

Combine like terms: -11.2 + 11.2 = 0.0
0.0 + 3.3w = 11 + 11.2
3.3w = 11 + 11.2

Combine like terms: 11 + 11.2 = 22.2
3.3w = 22.2

Divide each side by '3.3'.
w = 6.727272727

Simplifying
w = 6.727272727

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