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Simplifying 4(w + 3) = 2w + 2 Reorder the terms: 4(3 + w) = 2w + 2 (3 * 4 + w * 4) = 2w + 2 (12 + 4w) = 2w + 2 Reorder the terms: 12 + 4w = 2 + 2w Solving 12 + 4w = 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. 12 + 4w + -2w = 2 + 2w + -2w Combine like terms: 4w + -2w = 2w 12 + 2w = 2 + 2w + -2w Combine like terms: 2w + -2w = 0 12 + 2w = 2 + 0 12 + 2w = 2 Add '-12' to each side of the equation. 12 + -12 + 2w = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 2w = 2 + -12 2w = 2 + -12 Combine like terms: 2 + -12 = -10 2w = -10 Divide each side by '2'. w = -5 Simplifying w = -5
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