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Simplifying 10w + -6 = 9w + 1 Reorder the terms: -6 + 10w = 9w + 1 Reorder the terms: -6 + 10w = 1 + 9w Solving -6 + 10w = 1 + 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. -6 + 10w + -9w = 1 + 9w + -9w Combine like terms: 10w + -9w = 1w -6 + 1w = 1 + 9w + -9w Combine like terms: 9w + -9w = 0 -6 + 1w = 1 + 0 -6 + 1w = 1 Add '6' to each side of the equation. -6 + 6 + 1w = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 1w = 1 + 6 1w = 1 + 6 Combine like terms: 1 + 6 = 7 1w = 7 Divide each side by '1'. w = 7 Simplifying w = 7
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