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Simplifying 10w + -7 = 9w + -27 Reorder the terms: -7 + 10w = 9w + -27 Reorder the terms: -7 + 10w = -27 + 9w Solving -7 + 10w = -27 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -7 + 10w + -9w = -27 + 9w + -9w Combine like terms: 10w + -9w = 1w -7 + 1w = -27 + 9w + -9w Combine like terms: 9w + -9w = 0 -7 + 1w = -27 + 0 -7 + 1w = -27 Add '7' to each side of the equation. -7 + 7 + 1w = -27 + 7 Combine like terms: -7 + 7 = 0 0 + 1w = -27 + 7 1w = -27 + 7 Combine like terms: -27 + 7 = -20 1w = -20 Divide each side by '1'. w = -20 Simplifying w = -20
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