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