18.3-3.7w-5.4=1.5w-7.9

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Solution for 18.3-3.7w-5.4=1.5w-7.9 equation: 


Simplifying
18.3 + -3.7w + -5.4 = 1.5w + -7.9

Reorder the terms:
18.3 + -5.4 + -3.7w = 1.5w + -7.9

Combine like terms: 18.3 + -5.4 = 12.9
12.9 + -3.7w = 1.5w + -7.9

Reorder the terms:
12.9 + -3.7w = -7.9 + 1.5w

Solving
12.9 + -3.7w = -7.9 + 1.5w

Solving for variable 'w'.

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

Add '-1.5w' to each side of the equation.
12.9 + -3.7w + -1.5w = -7.9 + 1.5w + -1.5w

Combine like terms: -3.7w + -1.5w = -5.2w
12.9 + -5.2w = -7.9 + 1.5w + -1.5w

Combine like terms: 1.5w + -1.5w = 0.0
12.9 + -5.2w = -7.9 + 0.0
12.9 + -5.2w = -7.9

Add '-12.9' to each side of the equation.
12.9 + -12.9 + -5.2w = -7.9 + -12.9

Combine like terms: 12.9 + -12.9 = 0.0
0.0 + -5.2w = -7.9 + -12.9
-5.2w = -7.9 + -12.9

Combine like terms: -7.9 + -12.9 = -20.8
-5.2w = -20.8

Divide each side by '-5.2'.
w = 4

Simplifying
w = 4

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