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Simplifying 9w + -7 = 2w + -13 Reorder the terms: -7 + 9w = 2w + -13 Reorder the terms: -7 + 9w = -13 + 2w Solving -7 + 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. -7 + 9w + -2w = -13 + 2w + -2w Combine like terms: 9w + -2w = 7w -7 + 7w = -13 + 2w + -2w Combine like terms: 2w + -2w = 0 -7 + 7w = -13 + 0 -7 + 7w = -13 Add '7' to each side of the equation. -7 + 7 + 7w = -13 + 7 Combine like terms: -7 + 7 = 0 0 + 7w = -13 + 7 7w = -13 + 7 Combine like terms: -13 + 7 = -6 7w = -6 Divide each side by '7'. w = -0.8571428571 Simplifying w = -0.8571428571
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