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Simplifying -3w + 6 = 81 + 9 + -2w Reorder the terms: 6 + -3w = 81 + 9 + -2w Combine like terms: 81 + 9 = 90 6 + -3w = 90 + -2w Solving 6 + -3w = 90 + -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. 6 + -3w + 2w = 90 + -2w + 2w Combine like terms: -3w + 2w = -1w 6 + -1w = 90 + -2w + 2w Combine like terms: -2w + 2w = 0 6 + -1w = 90 + 0 6 + -1w = 90 Add '-6' to each side of the equation. 6 + -6 + -1w = 90 + -6 Combine like terms: 6 + -6 = 0 0 + -1w = 90 + -6 -1w = 90 + -6 Combine like terms: 90 + -6 = 84 -1w = 84 Divide each side by '-1'. w = -84 Simplifying w = -84
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