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Simplifying w + -9 = 8 + 2w + -7 Reorder the terms: -9 + w = 8 + 2w + -7 Reorder the terms: -9 + w = 8 + -7 + 2w Combine like terms: 8 + -7 = 1 -9 + w = 1 + 2w Solving -9 + w = 1 + 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. -9 + w + -2w = 1 + 2w + -2w Combine like terms: w + -2w = -1w -9 + -1w = 1 + 2w + -2w Combine like terms: 2w + -2w = 0 -9 + -1w = 1 + 0 -9 + -1w = 1 Add '9' to each side of the equation. -9 + 9 + -1w = 1 + 9 Combine like terms: -9 + 9 = 0 0 + -1w = 1 + 9 -1w = 1 + 9 Combine like terms: 1 + 9 = 10 -1w = 10 Divide each side by '-1'. w = -10 Simplifying w = -10
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