23-3(2W+1)=8W-3(8+W)

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Solution for 23-3(2W+1)=8W-3(8+W) equation:


Simplifying
23 + -3(2W + 1) = 8W + -3(8 + W)

Reorder the terms:
23 + -3(1 + 2W) = 8W + -3(8 + W)
23 + (1 * -3 + 2W * -3) = 8W + -3(8 + W)
23 + (-3 + -6W) = 8W + -3(8 + W)

Combine like terms: 23 + -3 = 20
20 + -6W = 8W + -3(8 + W)
20 + -6W = 8W + (8 * -3 + W * -3)
20 + -6W = 8W + (-24 + -3W)

Reorder the terms:
20 + -6W = -24 + 8W + -3W

Combine like terms: 8W + -3W = 5W
20 + -6W = -24 + 5W

Solving
20 + -6W = -24 + 5W

Solving for variable 'W'.

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

Add '-5W' to each side of the equation.
20 + -6W + -5W = -24 + 5W + -5W

Combine like terms: -6W + -5W = -11W
20 + -11W = -24 + 5W + -5W

Combine like terms: 5W + -5W = 0
20 + -11W = -24 + 0
20 + -11W = -24

Add '-20' to each side of the equation.
20 + -20 + -11W = -24 + -20

Combine like terms: 20 + -20 = 0
0 + -11W = -24 + -20
-11W = -24 + -20

Combine like terms: -24 + -20 = -44
-11W = -44

Divide each side by '-11'.
W = 4

Simplifying
W = 4

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