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Simplifying 4w + 22 = 2(w + 3) Reorder the terms: 22 + 4w = 2(w + 3) Reorder the terms: 22 + 4w = 2(3 + w) 22 + 4w = (3 * 2 + w * 2) 22 + 4w = (6 + 2w) Solving 22 + 4w = 6 + 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. 22 + 4w + -2w = 6 + 2w + -2w Combine like terms: 4w + -2w = 2w 22 + 2w = 6 + 2w + -2w Combine like terms: 2w + -2w = 0 22 + 2w = 6 + 0 22 + 2w = 6 Add '-22' to each side of the equation. 22 + -22 + 2w = 6 + -22 Combine like terms: 22 + -22 = 0 0 + 2w = 6 + -22 2w = 6 + -22 Combine like terms: 6 + -22 = -16 2w = -16 Divide each side by '2'. w = -8 Simplifying w = -8
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