4[2.25w+3.1]-2.75w=44.9

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Solution for 4[2.25w+3.1]-2.75w=44.9 equation: 


Simplifying
4[2.25w + 3.1] + -2.75w = 44.9

Reorder the terms:
4[3.1 + 2.25w] + -2.75w = 44.9
[3.1 * 4 + 2.25w * 4] + -2.75w = 44.9
[12.4 + 9w] + -2.75w = 44.9

Combine like terms: 9w + -2.75w = 6.25w
12.4 + 6.25w = 44.9

Solving
12.4 + 6.25w = 44.9

Solving for variable 'w'.

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

Add '-12.4' to each side of the equation.
12.4 + -12.4 + 6.25w = 44.9 + -12.4

Combine like terms: 12.4 + -12.4 = 0.0
0.0 + 6.25w = 44.9 + -12.4
6.25w = 44.9 + -12.4

Combine like terms: 44.9 + -12.4 = 32.5
6.25w = 32.5

Divide each side by '6.25'.
w = 5.2

Simplifying
w = 5.2

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