4[2.25w]+3.1-2.7w=44.9

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Solution for 4[2.25w]+3.1-2.7w=44.9 equation: 


Simplifying
4[2.25w] + 3.1 + -2.7w = 44.9

Remove brackets around [2.25w]
4 * 2.25w + 3.1 + -2.7w = 44.9

Multiply 4 * 2.25
9w + 3.1 + -2.7w = 44.9

Reorder the terms:
3.1 + 9w + -2.7w = 44.9

Combine like terms: 9w + -2.7w = 6.3w
3.1 + 6.3w = 44.9

Solving
3.1 + 6.3w = 44.9

Solving for variable 'w'.

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

Add '-3.1' to each side of the equation.
3.1 + -3.1 + 6.3w = 44.9 + -3.1

Combine like terms: 3.1 + -3.1 = 0.0
0.0 + 6.3w = 44.9 + -3.1
6.3w = 44.9 + -3.1

Combine like terms: 44.9 + -3.1 = 41.8
6.3w = 41.8

Divide each side by '6.3'.
w = 6.634920635

Simplifying
w = 6.634920635

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