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Simplifying -2w + 7(w + 6) = 17 Reorder the terms: -2w + 7(6 + w) = 17 -2w + (6 * 7 + w * 7) = 17 -2w + (42 + 7w) = 17 Reorder the terms: 42 + -2w + 7w = 17 Combine like terms: -2w + 7w = 5w 42 + 5w = 17 Solving 42 + 5w = 17 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 + 5w = 17 + -42 Combine like terms: 42 + -42 = 0 0 + 5w = 17 + -42 5w = 17 + -42 Combine like terms: 17 + -42 = -25 5w = -25 Divide each side by '5'. w = -5 Simplifying w = -5
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