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Simplifying 8 + -1w + 6 = 9w + -2 Reorder the terms: 8 + 6 + -1w = 9w + -2 Combine like terms: 8 + 6 = 14 14 + -1w = 9w + -2 Reorder the terms: 14 + -1w = -2 + 9w Solving 14 + -1w = -2 + 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. 14 + -1w + -9w = -2 + 9w + -9w Combine like terms: -1w + -9w = -10w 14 + -10w = -2 + 9w + -9w Combine like terms: 9w + -9w = 0 14 + -10w = -2 + 0 14 + -10w = -2 Add '-14' to each side of the equation. 14 + -14 + -10w = -2 + -14 Combine like terms: 14 + -14 = 0 0 + -10w = -2 + -14 -10w = -2 + -14 Combine like terms: -2 + -14 = -16 -10w = -16 Divide each side by '-10'. w = 1.6 Simplifying w = 1.6
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