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