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Simplifying 3w + 2 = 10w + -1w Reorder the terms: 2 + 3w = 10w + -1w Combine like terms: 10w + -1w = 9w 2 + 3w = 9w Solving 2 + 3w = 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. 2 + 3w + -9w = 9w + -9w Combine like terms: 3w + -9w = -6w 2 + -6w = 9w + -9w Combine like terms: 9w + -9w = 0 2 + -6w = 0 Add '-2' to each side of the equation. 2 + -2 + -6w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -6w = 0 + -2 -6w = 0 + -2 Combine like terms: 0 + -2 = -2 -6w = -2 Divide each side by '-6'. w = 0.3333333333 Simplifying w = 0.3333333333
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