54=2(2w+.5)+2w

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Solution for 54=2(2w+.5)+2w equation:


Simplifying
54 = 2(2w + 0.5) + 2w

Reorder the terms:
54 = 2(0.5 + 2w) + 2w
54 = (0.5 * 2 + 2w * 2) + 2w
54 = (1 + 4w) + 2w

Combine like terms: 4w + 2w = 6w
54 = 1 + 6w

Solving
54 = 1 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
54 + -6w = 1 + 6w + -6w

Combine like terms: 6w + -6w = 0
54 + -6w = 1 + 0
54 + -6w = 1

Add '-54' to each side of the equation.
54 + -54 + -6w = 1 + -54

Combine like terms: 54 + -54 = 0
0 + -6w = 1 + -54
-6w = 1 + -54

Combine like terms: 1 + -54 = -53
-6w = -53

Divide each side by '-6'.
w = 8.833333333

Simplifying
w = 8.833333333

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