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Simplifying (-2w + 9) + (9w + -3) = 0 Reorder the terms: (9 + -2w) + (9w + -3) = 0 Remove parenthesis around (9 + -2w) 9 + -2w + (9w + -3) = 0 Reorder the terms: 9 + -2w + (-3 + 9w) = 0 Remove parenthesis around (-3 + 9w) 9 + -2w + -3 + 9w = 0 Reorder the terms: 9 + -3 + -2w + 9w = 0 Combine like terms: 9 + -3 = 6 6 + -2w + 9w = 0 Combine like terms: -2w + 9w = 7w 6 + 7w = 0 Solving 6 + 7w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7w = 0 + -6 7w = 0 + -6 Combine like terms: 0 + -6 = -6 7w = -6 Divide each side by '7'. w = -0.8571428571 Simplifying w = -0.8571428571
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