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Simplifying 3 + 1 = 2w + 8 Combine like terms: 3 + 1 = 4 4 = 2w + 8 Reorder the terms: 4 = 8 + 2w Solving 4 = 8 + 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. 4 + -2w = 8 + 2w + -2w Combine like terms: 2w + -2w = 0 4 + -2w = 8 + 0 4 + -2w = 8 Add '-4' to each side of the equation. 4 + -4 + -2w = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -2w = 8 + -4 -2w = 8 + -4 Combine like terms: 8 + -4 = 4 -2w = 4 Divide each side by '-2'. w = -2 Simplifying w = -2
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