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Simplifying 9w + 8 = 2w + -13 Reorder the terms: 8 + 9w = 2w + -13 Reorder the terms: 8 + 9w = -13 + 2w Solving 8 + 9w = -13 + 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. 8 + 9w + -2w = -13 + 2w + -2w Combine like terms: 9w + -2w = 7w 8 + 7w = -13 + 2w + -2w Combine like terms: 2w + -2w = 0 8 + 7w = -13 + 0 8 + 7w = -13 Add '-8' to each side of the equation. 8 + -8 + 7w = -13 + -8 Combine like terms: 8 + -8 = 0 0 + 7w = -13 + -8 7w = -13 + -8 Combine like terms: -13 + -8 = -21 7w = -21 Divide each side by '7'. w = -3 Simplifying w = -3
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