14.4=(2w-3)+(2w-3)+2w

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Solution for 14.4=(2w-3)+(2w-3)+2w equation:


Simplifying
14.4 = (2w + -3) + (2w + -3) + 2w

Reorder the terms:
14.4 = (-3 + 2w) + (2w + -3) + 2w

Remove parenthesis around (-3 + 2w)
14.4 = -3 + 2w + (2w + -3) + 2w

Reorder the terms:
14.4 = -3 + 2w + (-3 + 2w) + 2w

Remove parenthesis around (-3 + 2w)
14.4 = -3 + 2w + -3 + 2w + 2w

Reorder the terms:
14.4 = -3 + -3 + 2w + 2w + 2w

Combine like terms: -3 + -3 = -6
14.4 = -6 + 2w + 2w + 2w

Combine like terms: 2w + 2w = 4w
14.4 = -6 + 4w + 2w

Combine like terms: 4w + 2w = 6w
14.4 = -6 + 6w

Solving
14.4 = -6 + 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.
14.4 + -6w = -6 + 6w + -6w

Combine like terms: 6w + -6w = 0
14.4 + -6w = -6 + 0
14.4 + -6w = -6

Add '-14.4' to each side of the equation.
14.4 + -14.4 + -6w = -6 + -14.4

Combine like terms: 14.4 + -14.4 = 0.0
0.0 + -6w = -6 + -14.4
-6w = -6 + -14.4

Combine like terms: -6 + -14.4 = -20.4
-6w = -20.4

Divide each side by '-6'.
w = 3.4

Simplifying
w = 3.4

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