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Simplifying -6w + 9 = 9w + -81 Reorder the terms: 9 + -6w = 9w + -81 Reorder the terms: 9 + -6w = -81 + 9w Solving 9 + -6w = -81 + 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. 9 + -6w + -9w = -81 + 9w + -9w Combine like terms: -6w + -9w = -15w 9 + -15w = -81 + 9w + -9w Combine like terms: 9w + -9w = 0 9 + -15w = -81 + 0 9 + -15w = -81 Add '-9' to each side of the equation. 9 + -9 + -15w = -81 + -9 Combine like terms: 9 + -9 = 0 0 + -15w = -81 + -9 -15w = -81 + -9 Combine like terms: -81 + -9 = -90 -15w = -90 Divide each side by '-15'. w = 6 Simplifying w = 6
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