40.06=2(2w-2.5)+2w

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Solution for 40.06=2(2w-2.5)+2w equation:


Simplifying
40.06 = 2(2w + -2.5) + 2w

Reorder the terms:
40.06 = 2(-2.5 + 2w) + 2w
40.06 = (-2.5 * 2 + 2w * 2) + 2w
40.06 = (-5 + 4w) + 2w

Combine like terms: 4w + 2w = 6w
40.06 = -5 + 6w

Solving
40.06 = -5 + 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.
40.06 + -6w = -5 + 6w + -6w

Combine like terms: 6w + -6w = 0
40.06 + -6w = -5 + 0
40.06 + -6w = -5

Add '-40.06' to each side of the equation.
40.06 + -40.06 + -6w = -5 + -40.06

Combine like terms: 40.06 + -40.06 = 0.00
0.00 + -6w = -5 + -40.06
-6w = -5 + -40.06

Combine like terms: -5 + -40.06 = -45.06
-6w = -45.06

Divide each side by '-6'.
w = 7.51

Simplifying
w = 7.51

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