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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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