4(2.25w+3.1)-2.5w=44.9

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Solution for 4(2.25w+3.1)-2.5w=44.9 equation: 


Simplifying
4(2.25w + 3.1) + -2.5w = 44.9

Reorder the terms:
4(3.1 + 2.25w) + -2.5w = 44.9
(3.1 * 4 + 2.25w * 4) + -2.5w = 44.9
(12.4 + 9w) + -2.5w = 44.9

Combine like terms: 9w + -2.5w = 6.5w
12.4 + 6.5w = 44.9

Solving
12.4 + 6.5w = 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 + 6.5w = 44.9 + -12.4

Combine like terms: 12.4 + -12.4 = 0.0
0.0 + 6.5w = 44.9 + -12.4
6.5w = 44.9 + -12.4

Combine like terms: 44.9 + -12.4 = 32.5
6.5w = 32.5

Divide each side by '6.5'.
w = 5

Simplifying
w = 5

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