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Simplifying 2w + 39 = -7(w + 6) Reorder the terms: 39 + 2w = -7(w + 6) Reorder the terms: 39 + 2w = -7(6 + w) 39 + 2w = (6 * -7 + w * -7) 39 + 2w = (-42 + -7w) Solving 39 + 2w = -42 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 39 + 2w + 7w = -42 + -7w + 7w Combine like terms: 2w + 7w = 9w 39 + 9w = -42 + -7w + 7w Combine like terms: -7w + 7w = 0 39 + 9w = -42 + 0 39 + 9w = -42 Add '-39' to each side of the equation. 39 + -39 + 9w = -42 + -39 Combine like terms: 39 + -39 = 0 0 + 9w = -42 + -39 9w = -42 + -39 Combine like terms: -42 + -39 = -81 9w = -81 Divide each side by '9'. w = -9 Simplifying w = -9
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