3.8w+3.2=2.3(w+4)

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Solution for 3.8w+3.2=2.3(w+4) equation: 


Simplifying
3.8w + 3.2 = 2.3(w + 4)

Reorder the terms:
3.2 + 3.8w = 2.3(w + 4)

Reorder the terms:
3.2 + 3.8w = 2.3(4 + w)
3.2 + 3.8w = (4 * 2.3 + w * 2.3)
3.2 + 3.8w = (9.2 + 2.3w)

Solving
3.2 + 3.8w = 9.2 + 2.3w

Solving for variable 'w'.

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

Add '-2.3w' to each side of the equation.
3.2 + 3.8w + -2.3w = 9.2 + 2.3w + -2.3w

Combine like terms: 3.8w + -2.3w = 1.5w
3.2 + 1.5w = 9.2 + 2.3w + -2.3w

Combine like terms: 2.3w + -2.3w = 0.0
3.2 + 1.5w = 9.2 + 0.0
3.2 + 1.5w = 9.2

Add '-3.2' to each side of the equation.
3.2 + -3.2 + 1.5w = 9.2 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + 1.5w = 9.2 + -3.2
1.5w = 9.2 + -3.2

Combine like terms: 9.2 + -3.2 = 6
1.5w = 6

Divide each side by '1.5'.
w = 4

Simplifying
w = 4

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