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Simplifying -2w + 38 = -9(w + 2) Reorder the terms: 38 + -2w = -9(w + 2) Reorder the terms: 38 + -2w = -9(2 + w) 38 + -2w = (2 * -9 + w * -9) 38 + -2w = (-18 + -9w) Solving 38 + -2w = -18 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. 38 + -2w + 9w = -18 + -9w + 9w Combine like terms: -2w + 9w = 7w 38 + 7w = -18 + -9w + 9w Combine like terms: -9w + 9w = 0 38 + 7w = -18 + 0 38 + 7w = -18 Add '-38' to each side of the equation. 38 + -38 + 7w = -18 + -38 Combine like terms: 38 + -38 = 0 0 + 7w = -18 + -38 7w = -18 + -38 Combine like terms: -18 + -38 = -56 7w = -56 Divide each side by '7'. w = -8 Simplifying w = -8
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