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Simplifying -7(w + -7) = -9w + 33 Reorder the terms: -7(-7 + w) = -9w + 33 (-7 * -7 + w * -7) = -9w + 33 (49 + -7w) = -9w + 33 Reorder the terms: 49 + -7w = 33 + -9w Solving 49 + -7w = 33 + -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. 49 + -7w + 9w = 33 + -9w + 9w Combine like terms: -7w + 9w = 2w 49 + 2w = 33 + -9w + 9w Combine like terms: -9w + 9w = 0 49 + 2w = 33 + 0 49 + 2w = 33 Add '-49' to each side of the equation. 49 + -49 + 2w = 33 + -49 Combine like terms: 49 + -49 = 0 0 + 2w = 33 + -49 2w = 33 + -49 Combine like terms: 33 + -49 = -16 2w = -16 Divide each side by '2'. w = -8 Simplifying w = -8
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