24-2(1-W)=7-3(3-2W)

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Solution for 24-2(1-W)=7-3(3-2W) equation: 


Simplifying
24 + -2(1 + -1W) = 7 + -3(3 + -2W)
24 + (1 * -2 + -1W * -2) = 7 + -3(3 + -2W)
24 + (-2 + 2W) = 7 + -3(3 + -2W)

Combine like terms: 24 + -2 = 22
22 + 2W = 7 + -3(3 + -2W)
22 + 2W = 7 + (3 * -3 + -2W * -3)
22 + 2W = 7 + (-9 + 6W)

Combine like terms: 7 + -9 = -2
22 + 2W = -2 + 6W

Solving
22 + 2W = -2 + 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.
22 + 2W + -6W = -2 + 6W + -6W

Combine like terms: 2W + -6W = -4W
22 + -4W = -2 + 6W + -6W

Combine like terms: 6W + -6W = 0
22 + -4W = -2 + 0
22 + -4W = -2

Add '-22' to each side of the equation.
22 + -22 + -4W = -2 + -22

Combine like terms: 22 + -22 = 0
0 + -4W = -2 + -22
-4W = -2 + -22

Combine like terms: -2 + -22 = -24
-4W = -24

Divide each side by '-4'.
W = 6

Simplifying
W = 6

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