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Simplifying 8w + 22 = 6(w + 2) Reorder the terms: 22 + 8w = 6(w + 2) Reorder the terms: 22 + 8w = 6(2 + w) 22 + 8w = (2 * 6 + w * 6) 22 + 8w = (12 + 6w) Solving 22 + 8w = 12 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 22 + 8w + -6w = 12 + 6w + -6w Combine like terms: 8w + -6w = 2w 22 + 2w = 12 + 6w + -6w Combine like terms: 6w + -6w = 0 22 + 2w = 12 + 0 22 + 2w = 12 Add '-22' to each side of the equation. 22 + -22 + 2w = 12 + -22 Combine like terms: 22 + -22 = 0 0 + 2w = 12 + -22 2w = 12 + -22 Combine like terms: 12 + -22 = -10 2w = -10 Divide each side by '2'. w = -5 Simplifying w = -5
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