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Simplifying 2w + 7(w + 6) = 6 Reorder the terms: 2w + 7(6 + w) = 6 2w + (6 * 7 + w * 7) = 6 2w + (42 + 7w) = 6 Reorder the terms: 42 + 2w + 7w = 6 Combine like terms: 2w + 7w = 9w 42 + 9w = 6 Solving 42 + 9w = 6 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 9w = 6 + -42 Combine like terms: 42 + -42 = 0 0 + 9w = 6 + -42 9w = 6 + -42 Combine like terms: 6 + -42 = -36 9w = -36 Divide each side by '9'. w = -4 Simplifying w = -4
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