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Simplifying 9w + -1(12) = 10 + w Multiply -1 * 12 9w + -12 = 10 + w Reorder the terms: -12 + 9w = 10 + w Solving -12 + 9w = 10 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -12 + 9w + -1w = 10 + w + -1w Combine like terms: 9w + -1w = 8w -12 + 8w = 10 + w + -1w Combine like terms: w + -1w = 0 -12 + 8w = 10 + 0 -12 + 8w = 10 Add '12' to each side of the equation. -12 + 12 + 8w = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 8w = 10 + 12 8w = 10 + 12 Combine like terms: 10 + 12 = 22 8w = 22 Divide each side by '8'. w = 2.75 Simplifying w = 2.75
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