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Simplifying 3(w + 7) = 2 + 2w Reorder the terms: 3(7 + w) = 2 + 2w (7 * 3 + w * 3) = 2 + 2w (21 + 3w) = 2 + 2w Solving 21 + 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. 21 + 3w + -2w = 2 + 2w + -2w Combine like terms: 3w + -2w = 1w 21 + 1w = 2 + 2w + -2w Combine like terms: 2w + -2w = 0 21 + 1w = 2 + 0 21 + 1w = 2 Add '-21' to each side of the equation. 21 + -21 + 1w = 2 + -21 Combine like terms: 21 + -21 = 0 0 + 1w = 2 + -21 1w = 2 + -21 Combine like terms: 2 + -21 = -19 1w = -19 Divide each side by '1'. w = -19 Simplifying w = -19
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