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Simplifying 2(w + 6) = -7 + 30 Reorder the terms: 2(6 + w) = -7 + 30 (6 * 2 + w * 2) = -7 + 30 (12 + 2w) = -7 + 30 Combine like terms: -7 + 30 = 23 12 + 2w = 23 Solving 12 + 2w = 23 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2w = 23 + -12 Combine like terms: 12 + -12 = 0 0 + 2w = 23 + -12 2w = 23 + -12 Combine like terms: 23 + -12 = 11 2w = 11 Divide each side by '2'. w = 5.5 Simplifying w = 5.5
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