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Simplifying -2w + 33 = -9(w + -6) Reorder the terms: 33 + -2w = -9(w + -6) Reorder the terms: 33 + -2w = -9(-6 + w) 33 + -2w = (-6 * -9 + w * -9) 33 + -2w = (54 + -9w) Solving 33 + -2w = 54 + -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. 33 + -2w + 9w = 54 + -9w + 9w Combine like terms: -2w + 9w = 7w 33 + 7w = 54 + -9w + 9w Combine like terms: -9w + 9w = 0 33 + 7w = 54 + 0 33 + 7w = 54 Add '-33' to each side of the equation. 33 + -33 + 7w = 54 + -33 Combine like terms: 33 + -33 = 0 0 + 7w = 54 + -33 7w = 54 + -33 Combine like terms: 54 + -33 = 21 7w = 21 Divide each side by '7'. w = 3 Simplifying w = 3
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