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Simplifying 9(w + -2) = 7w + -38 Reorder the terms: 9(-2 + w) = 7w + -38 (-2 * 9 + w * 9) = 7w + -38 (-18 + 9w) = 7w + -38 Reorder the terms: -18 + 9w = -38 + 7w Solving -18 + 9w = -38 + 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. -18 + 9w + -7w = -38 + 7w + -7w Combine like terms: 9w + -7w = 2w -18 + 2w = -38 + 7w + -7w Combine like terms: 7w + -7w = 0 -18 + 2w = -38 + 0 -18 + 2w = -38 Add '18' to each side of the equation. -18 + 18 + 2w = -38 + 18 Combine like terms: -18 + 18 = 0 0 + 2w = -38 + 18 2w = -38 + 18 Combine like terms: -38 + 18 = -20 2w = -20 Divide each side by '2'. w = -10 Simplifying w = -10
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