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Simplifying 9(w + 3) = 2w + -36 Reorder the terms: 9(3 + w) = 2w + -36 (3 * 9 + w * 9) = 2w + -36 (27 + 9w) = 2w + -36 Reorder the terms: 27 + 9w = -36 + 2w Solving 27 + 9w = -36 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 27 + 9w + -2w = -36 + 2w + -2w Combine like terms: 9w + -2w = 7w 27 + 7w = -36 + 2w + -2w Combine like terms: 2w + -2w = 0 27 + 7w = -36 + 0 27 + 7w = -36 Add '-27' to each side of the equation. 27 + -27 + 7w = -36 + -27 Combine like terms: 27 + -27 = 0 0 + 7w = -36 + -27 7w = -36 + -27 Combine like terms: -36 + -27 = -63 7w = -63 Divide each side by '7'. w = -9 Simplifying w = -9
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