12.4=3w+8-0.5w

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Solution for 12.4=3w+8-0.5w equation: 


Simplifying
12.4 = 3w + 8 + -0.5w

Reorder the terms:
12.4 = 8 + 3w + -0.5w

Combine like terms: 3w + -0.5w = 2.5w
12.4 = 8 + 2.5w

Solving
12.4 = 8 + 2.5w

Solving for variable 'w'.

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

Add '-2.5w' to each side of the equation.
12.4 + -2.5w = 8 + 2.5w + -2.5w

Combine like terms: 2.5w + -2.5w = 0.0
12.4 + -2.5w = 8 + 0.0
12.4 + -2.5w = 8

Add '-12.4' to each side of the equation.
12.4 + -12.4 + -2.5w = 8 + -12.4

Combine like terms: 12.4 + -12.4 = 0.0
0.0 + -2.5w = 8 + -12.4
-2.5w = 8 + -12.4

Combine like terms: 8 + -12.4 = -4.4
-2.5w = -4.4

Divide each side by '-2.5'.
w = 1.76

Simplifying
w = 1.76

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