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Simplifying 3(10 + -2W) + 8 = -2W (10 * 3 + -2W * 3) + 8 = -2W (30 + -6W) + 8 = -2W Reorder the terms: 30 + 8 + -6W = -2W Combine like terms: 30 + 8 = 38 38 + -6W = -2W Solving 38 + -6W = -2W Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '2W' to each side of the equation. 38 + -6W + 2W = -2W + 2W Combine like terms: -6W + 2W = -4W 38 + -4W = -2W + 2W Combine like terms: -2W + 2W = 0 38 + -4W = 0 Add '-38' to each side of the equation. 38 + -38 + -4W = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -4W = 0 + -38 -4W = 0 + -38 Combine like terms: 0 + -38 = -38 -4W = -38 Divide each side by '-4'. W = 9.5 Simplifying W = 9.5
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