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Simplifying 3(w + 2) = 2 + 2w Reorder the terms: 3(2 + w) = 2 + 2w (2 * 3 + w * 3) = 2 + 2w (6 + 3w) = 2 + 2w Solving 6 + 3w = 2 + 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. 6 + 3w + -2w = 2 + 2w + -2w Combine like terms: 3w + -2w = 1w 6 + 1w = 2 + 2w + -2w Combine like terms: 2w + -2w = 0 6 + 1w = 2 + 0 6 + 1w = 2 Add '-6' to each side of the equation. 6 + -6 + 1w = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 1w = 2 + -6 1w = 2 + -6 Combine like terms: 2 + -6 = -4 1w = -4 Divide each side by '1'. w = -4 Simplifying w = -4
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